465579400 has 192 divisors, whose sum is σ = 1294917120. Its totient is φ = 153446400.

The previous prime is 465579379. The next prime is 465579437. The reversal of 465579400 is 4975564.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2087689 + ... + 2087911.

It is an arithmetic number, because the mean of its divisors is an integer number (6744360).

Almost surely, 2^465579400 is an apocalyptic number.

465579400 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 465579400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647458560).

465579400 is an abundant number, since it is smaller than the sum of its proper divisors (829337720).

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

465579400 is a wasteful number, since it uses less digits than its factorization.

465579400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 465579400 is about 21577.2889863393. The cubic root of 465579400 is about 775.0527331444.

The spelling of 465579400 in words is "four hundred sixty-five million, five hundred seventy-nine thousand, four hundred".