462606400 has 42 divisors (see below), whose sum is σ = 1138304810. Its totient is φ = 185041920.

The previous prime is 462606377. The next prime is 462606413. The reversal of 462606400 is 4606264.

It can be written as a sum of positive squares in 3 ways, for example, as 11128896 + 451477504 = 3336^2 + 21248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 142965 + ... + 146164.

Almost surely, 2^462606400 is an apocalyptic number.

462606400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462606400 is an abundant number, since it is smaller than the sum of its proper divisors (675698410).

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

462606400 is a wasteful number, since it uses less digits than its factorization.

462606400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289151 (or 289136 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 462606400 is about 21508.2867751014. The cubic root of 462606400 is about 773.3994856873.

The spelling of 462606400 in words is "four hundred sixty-two million, six hundred six thousand, four hundred".