460392912 has 240 divisors, whose sum is σ = 1586362752. Its totient is φ = 121651200.

The previous prime is 460392883. The next prime is 460392913. The reversal of 460392912 is 219293064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460392913) 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, 1147912 + ... + 1148312.

Almost surely, 2^460392912 is an apocalyptic number.

460392912 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 460392912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793181376).

460392912 is an abundant number, since it is smaller than the sum of its proper divisors (1125969840).

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

460392912 is a wasteful number, since it uses less digits than its factorization.

460392912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 460392912 is about 21456.7684426150. The cubic root of 460392912 is about 772.1639874639.

The spelling of 460392912 in words is "four hundred sixty million, three hundred ninety-two thousand, nine hundred twelve".