464946336 has 36 divisors (see below), whose sum is σ = 1322191962. Its totient is φ = 154982016.

The previous prime is 464946319. The next prime is 464946337. The reversal of 464946336 is 633649464.

464946336 is a `hidden beast` number, since 4 + 6 + 4 + 9 + 4 + 633 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 448592400 + 16353936 = 21180^2 + 4044^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 464946291 and 464946300.

It is not an unprimeable number, because it can be changed into a prime (464946337) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 806911 + ... + 807486.

Almost surely, 2^464946336 is an apocalyptic number.

It is an amenable number.

464946336 is an abundant number, since it is smaller than the sum of its proper divisors (857245626).

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

464946336 is a wasteful number, since it uses less digits than its factorization.

464946336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1614413 (or 1614402 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 45.

The square root of 464946336 is about 21562.6143127405. The cubic root of 464946336 is about 774.7012853644.

The spelling of 464946336 in words is "four hundred sixty-four million, nine hundred forty-six thousand, three hundred thirty-six".