460408032 has 288 divisors, whose sum is σ = 1585059840. Its totient is φ = 124001280.

The previous prime is 460408021. The next prime is 460408033. The reversal of 460408032 is 230804064.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×460408032² = 423951111860226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 460407987 and 460408005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460408033) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3312219 + ... + 3312357.

It is an arithmetic number, because the mean of its divisors is an integer number (5503680).

Almost surely, 2^460408032 is an apocalyptic number.

460408032 is a gapful number since it is divisible by the number (42) 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 460408032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792529920).

460408032 is an abundant number, since it is smaller than the sum of its proper divisors (1124651808).

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

460408032 is a wasteful number, since it uses less digits than its factorization.

460408032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 460408032 is about 21457.1207760967. The cubic root of 460408032 is about 772.1724403826.

The spelling of 460408032 in words is "four hundred sixty million, four hundred eight thousand, thirty-two".