465880400 has 60 divisors (see below), whose sum is σ = 1155414144. Its totient is φ = 180336000.

The previous prime is 465880397. The next prime is 465880421. The reversal of 465880400 is 4088564.

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 11 ways as a sum of consecutive naturals, for example, 6386 + ... + 31185.

Almost surely, 2^465880400 is an apocalyptic number.

465880400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

465880400 is an abundant number, since it is smaller than the sum of its proper divisors (689533744).

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

465880400 is a wasteful number, since it uses less digits than its factorization.

465880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37620 (or 37609 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 35.

The square root of 465880400 is about 21584.2627856501. The cubic root of 465880400 is about 775.2197226461.

It can be divided in two parts, 4658 and 80400, that added together give a palindrome (85058).

The spelling of 465880400 in words is "four hundred sixty-five million, eight hundred eighty thousand, four hundred".