464551400 has 24 divisors (see below), whose sum is σ = 1080082470. Its totient is φ = 185820480.

The previous prime is 464551397. The next prime is 464551441. The reversal of 464551400 is 4155464.

464551400 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 292888996 + 171662404 = 17114^2 + 13102^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1161179 + ... + 1161578.

Almost surely, 2^464551400 is an apocalyptic number.

464551400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464551400 is an abundant number, since it is smaller than the sum of its proper divisors (615531070).

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

464551400 is a wasteful number, since it uses less digits than its factorization.

464551400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322773 (or 2322764 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 464551400 is about 21553.4544795028. The cubic root of 464551400 is about 774.4818735935.

The spelling of 464551400 in words is "four hundred sixty-four million, five hundred fifty-one thousand, four hundred".