460056900 has 144 divisors (see below), whose sum is σ = 1379786688. Its totient is φ = 118272000.

The previous prime is 460056889. The next prime is 460056901. The reversal of 460056900 is 9650064.

It is a super-2 number, since 2×460056900² = 423304702475220000, 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 (460056901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1389735 + ... + 1390065.

It is an arithmetic number, because the mean of its divisors is an integer number (9581852).

Almost surely, 2^460056900 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 460056900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689893344).

460056900 is an abundant number, since it is smaller than the sum of its proper divisors (919729788).

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

460056900 is a wasteful number, since it uses less digits than its factorization.

460056900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 495 counting only the distinct ones).

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

The square root of 460056900 is about 21448.9370365993. The cubic root of 460056900 is about 771.9760903402.

The spelling of 460056900 in words is "four hundred sixty million, fifty-six thousand, nine hundred".