465981900 has 72 divisors (see below), whose sum is σ = 1427564880. Its totient is φ = 116951040.

The previous prime is 465981899. The next prime is 465981911. The reversal of 465981900 is 9189564.

It is a super-2 number, since 2×465981900² = 434278262255220000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40585 + ... + 50784.

It is an arithmetic number, because the mean of its divisors is an integer number (19827290).

Almost surely, 2^465981900 is an apocalyptic number.

It is an amenable number.

465981900 is an abundant number, since it is smaller than the sum of its proper divisors (961582980).

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

465981900 is a wasteful number, since it uses less digits than its factorization.

465981900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91403 (or 91396 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 465981900 is about 21586.6139076975. The cubic root of 465981900 is about 775.2760168425.

The spelling of 465981900 in words is "four hundred sixty-five million, nine hundred eighty-one thousand, nine hundred".