460675440 has 120 divisors (see below), whose sum is σ = 1600522560. Its totient is φ = 118605312.

The previous prime is 460675433. The next prime is 460675447. The reversal of 460675440 is 44576064.

460675440 is a `hidden beast` number, since 4 + 606 + 7 + 5 + 4 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (460675433) and next prime (460675447).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×460675440² = 424443722038387200, 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 = 460675395 and 460675404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460675447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9849 + ... + 31911.

It is an arithmetic number, because the mean of its divisors is an integer number (13337688).

Almost surely, 2^460675440 is an apocalyptic number.

460675440 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 460675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800261280).

460675440 is an abundant number, since it is smaller than the sum of its proper divisors (1139847120).

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

460675440 is a wasteful number, since it uses less digits than its factorization.

460675440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22111 (or 22102 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 460675440 is about 21463.3510897064. The cubic root of 460675440 is about 772.3219057196.

The spelling of 460675440 in words is "four hundred sixty million, six hundred seventy-five thousand, four hundred forty".