465254400 has 288 divisors, whose sum is σ = 1663487280. Its totient is φ = 114032640.

The previous prime is 465254393. The next prime is 465254411. The reversal of 465254400 is 4452564.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1996684 + ... + 1996916.

Almost surely, 2^465254400 is an apocalyptic number.

465254400 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 465254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831743640).

465254400 is an abundant number, since it is smaller than the sum of its proper divisors (1198232880).

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

465254400 is a wasteful number, since it uses less digits than its factorization.

465254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 465254400 is about 21569.7566050245. The cubic root of 465254400 is about 774.8723480353.

The spelling of 465254400 in words is "four hundred sixty-five million, two hundred fifty-four thousand, four hundred".