460938240 has 264 divisors, whose sum is σ = 1826579040. Its totient is φ = 105283584.

The previous prime is 460938229. The next prime is 460938251. The reversal of 460938240 is 42839064.

It is a happy number.

460938240 is a `hidden beast` number, since 4 + 609 + 3 + 8 + 2 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (460938229) and next prime (460938251).

It is a super-2 number, since 2×460938240² = 424928122188595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 460938195 and 460938204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321846 + ... + 323274.

It is an arithmetic number, because the mean of its divisors is an integer number (6918860).

Almost surely, 2^460938240 is an apocalyptic number.

460938240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460938240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (913289520).

460938240 is an abundant number, since it is smaller than the sum of its proper divisors (1365640800).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

460938240 is a wasteful number, since it uses less digits than its factorization.

460938240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 460938240 is about 21469.4722804265. The cubic root of 460938240 is about 772.4687391126.

It can be divided in two parts, 4609 and 38240, that added together give a square (42849 = 207²).

The spelling of 460938240 in words is "four hundred sixty million, nine hundred thirty-eight thousand, two hundred forty".