465083800 has 48 divisors (see below), whose sum is σ = 1104348960. Its totient is φ = 182071680.

The previous prime is 465083791. The next prime is 465083809. The reversal of 465083800 is 8380564.

It is an interprime number because it is at equal distance from previous prime (465083791) and next prime (465083809).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (465083809) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15339 + ... + 34138.

It is an arithmetic number, because the mean of its divisors is an integer number (23007270).

Almost surely, 2^465083800 is an apocalyptic number.

465083800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465083800 is an abundant number, since it is smaller than the sum of its proper divisors (639265160).

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

465083800 is a wasteful number, since it uses less digits than its factorization.

465083800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49540 (or 49531 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 465083800 is about 21565.8016312865. The cubic root of 465083800 is about 774.7776261058. Note that the first 3 decimals are identical.

The spelling of 465083800 in words is "four hundred sixty-five million, eighty-three thousand, eight hundred".