465004800 has 648 divisors, whose sum is σ = 1937417664. Its totient is φ = 109486080.

The previous prime is 465004759. The next prime is 465004811. The reversal of 465004800 is 8400564.

465004800 is a `hidden beast` number, since 4 + 650 + 0 + 4 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20217589 + ... + 20217611.

Almost surely, 2^465004800 is an apocalyptic number.

465004800 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 465004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968708832).

465004800 is an abundant number, since it is smaller than the sum of its proper divisors (1472412864).

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

465004800 is a wasteful number, since it uses less digits than its factorization.

465004800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 465004800 is about 21563.9699498956. The cubic root of 465004800 is about 774.7337552318.

The spelling of 465004800 in words is "four hundred sixty-five million, four thousand, eight hundred".