460833408 has 256 divisors, whose sum is σ = 1594137600. Its totient is φ = 128314368.

The previous prime is 460833397. The next prime is 460833413. The reversal of 460833408 is 804338064.

460833408 is a `hidden beast` number, since 4 + 608 + 3 + 3 + 40 + 8 = 666.

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 31 ways as a sum of consecutive naturals, for example, 1040035 + ... + 1040477.

It is an arithmetic number, because the mean of its divisors is an integer number (6227100).

Almost surely, 2^460833408 is an apocalyptic number.

460833408 is a gapful number since it is divisible by the number (48) 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 460833408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797068800).

460833408 is an abundant number, since it is smaller than the sum of its proper divisors (1133304192).

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

460833408 is a wasteful number, since it uses less digits than its factorization.

460833408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 460833408 is about 21467.0307215507. The cubic root of 460833408 is about 772.4101733615.

The spelling of 460833408 in words is "four hundred sixty million, eight hundred thirty-three thousand, four hundred eight".