465376800 has 144 divisors (see below), whose sum is σ = 1731264192. Its totient is φ = 106368000.

The previous prime is 465376799. The next prime is 465376811. The reversal of 465376800 is 8673564.

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, 2950 + ... + 30650.

It is an arithmetic number, because the mean of its divisors is an integer number (12022668).

Almost surely, 2^465376800 is an apocalyptic number.

465376800 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 465376800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865632096).

465376800 is an abundant number, since it is smaller than the sum of its proper divisors (1265887392).

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

465376800 is a wasteful number, since it uses less digits than its factorization.

465376800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27731 (or 27718 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 465376800 is about 21572.5937244458. The cubic root of 465376800 is about 774.9402937007.

The spelling of 465376800 in words is "four hundred sixty-five million, three hundred seventy-six thousand, eight hundred".