465872400 has 540 divisors, whose sum is σ = 1993882800. Its totient is φ = 100154880.

The previous prime is 465872389. The next prime is 465872417. The reversal of 465872400 is 4278564.

It is a super-3 number, since 3×465872400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 3351531 + ... + 3351669.

Almost surely, 2^465872400 is an apocalyptic number.

465872400 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 465872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (996941400).

465872400 is an abundant number, since it is smaller than the sum of its proper divisors (1528010400).

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

465872400 is a wasteful number, since it uses less digits than its factorization.

465872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 465872400 is about 21584.0774646497. The cubic root of 465872400 is about 775.2152853175.

The spelling of 465872400 in words is "four hundred sixty-five million, eight hundred seventy-two thousand, four hundred".