460905600 has 192 divisors, whose sum is σ = 1556462880. Its totient is φ = 119808000.

The previous prime is 460905593. The next prime is 460905607. The reversal of 460905600 is 6509064.

It is an interprime number because it is at equal distance from previous prime (460905593) and next prime (460905607).

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

It is a super-2 number, since 2×460905600² = 424867944222720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (460905607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 393015 + ... + 394185.

Almost surely, 2^460905600 is an apocalyptic number.

460905600 is a gapful number since it is divisible by the number (40) 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 460905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778231440).

460905600 is an abundant number, since it is smaller than the sum of its proper divisors (1095557280).

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

460905600 is a wasteful number, since it uses less digits than its factorization.

460905600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1239 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 460905600 is about 21468.7121178705. The cubic root of 460905600 is about 772.4505053070.

The spelling of 460905600 in words is "four hundred sixty million, nine hundred five thousand, six hundred".