460386432 has 192 divisors, whose sum is σ = 1477906560. Its totient is φ = 136366080.

The previous prime is 460386427. The next prime is 460386457. The reversal of 460386432 is 234683064.

It is a happy number.

460386432 is a `hidden beast` number, since 4 + 6 + 0 + 3 + 8 + 643 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 595198 + ... + 595970.

It is an arithmetic number, because the mean of its divisors is an integer number (7697430).

Almost surely, 2^460386432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460386432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738953280).

460386432 is an abundant number, since it is smaller than the sum of its proper divisors (1017520128).

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

460386432 is a wasteful number, since it uses less digits than its factorization.

460386432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 851 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 460386432 is about 21456.6174407804. The cubic root of 460386432 is about 772.1603647277.

The spelling of 460386432 in words is "four hundred sixty million, three hundred eighty-six thousand, four hundred thirty-two".