460564500 has 192 divisors, whose sum is σ = 1482743808. Its totient is φ = 110160000.

The previous prime is 460564483. The next prime is 460564501. The reversal of 460564500 is 5465064.

It is a super-3 number, since 3×460564500³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460564501) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1699365 + ... + 1699635.

It is an arithmetic number, because the mean of its divisors is an integer number (7722624).

Almost surely, 2^460564500 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 460564500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (741371904).

460564500 is an abundant number, since it is smaller than the sum of its proper divisors (1022179308).

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

460564500 is a wasteful number, since it uses less digits than its factorization.

460564500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 460564500 is about 21460.7665287147. The cubic root of 460564500 is about 772.2599038099.

The spelling of 460564500 in words is "four hundred sixty million, five hundred sixty-four thousand, five hundred".