462315920 has 40 divisors (see below), whose sum is σ = 1172603520. Its totient is φ = 168114560.

The previous prime is 462315911. The next prime is 462315937. The reversal of 462315920 is 29513264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 261800 + ... + 263559.

It is an arithmetic number, because the mean of its divisors is an integer number (29315088).

Almost surely, 2^462315920 is an apocalyptic number.

462315920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462315920 is an abundant number, since it is smaller than the sum of its proper divisors (710287600).

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

462315920 is a wasteful number, since it uses less digits than its factorization.

462315920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525383 (or 525377 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 462315920 is about 21501.5329686048. The cubic root of 462315920 is about 773.2375740195.

The spelling of 462315920 in words is "four hundred sixty-two million, three hundred fifteen thousand, nine hundred twenty".