460944680 has 64 divisors (see below), whose sum is σ = 1188190080. Its totient is φ = 157651200.

The previous prime is 460944677. The next prime is 460944689. The reversal of 460944680 is 86449064.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (460944689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127295 + ... + 130865.

It is an arithmetic number, because the mean of its divisors is an integer number (18565470).

Almost surely, 2^460944680 is an apocalyptic number.

460944680 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 460944680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594095040).

460944680 is an abundant number, since it is smaller than the sum of its proper divisors (727245400).

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

460944680 is a wasteful number, since it uses less digits than its factorization.

460944680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 460944680 is about 21469.6222603007. The cubic root of 460944680 is about 772.4723366123.

The spelling of 460944680 in words is "four hundred sixty million, nine hundred forty-four thousand, six hundred eighty".