460383264 has 240 divisors, whose sum is σ = 1505329056. Its totient is φ = 136857600.

The previous prime is 460383211. The next prime is 460383269. The reversal of 460383264 is 462383064.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (460383269) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1910184 + ... + 1910424.

Almost surely, 2^460383264 is an apocalyptic number.

460383264 is a gapful number since it is divisible by the number (44) 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 460383264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752664528).

460383264 is an abundant number, since it is smaller than the sum of its proper divisors (1044945792).

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

460383264 is a wasteful number, since it uses less digits than its factorization.

460383264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

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

The square root of 460383264 is about 21456.5436172744. The cubic root of 460383264 is about 772.1585935999.

The spelling of 460383264 in words is "four hundred sixty million, three hundred eighty-three thousand, two hundred sixty-four".