464909013 has 24 divisors (see below), whose sum is σ = 711861696. Its totient is φ = 291369600.

The previous prime is 464909009. The next prime is 464909059. The reversal of 464909013 is 310909464.

464909013 is a `hidden beast` number, since 4 + 649 + 0 + 9 + 0 + 1 + 3 = 666.

It is not a de Polignac number, because 464909013 - 2² = 464909009 is a prime.

It is a super-2 number, since 2×464909013² = 432280780737268338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464909083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 230178 + ... + 232188.

It is an arithmetic number, because the mean of its divisors is an integer number (29660904).

Almost surely, 2^464909013 is an apocalyptic number.

It is an amenable number.

464909013 is a deficient number, since it is larger than the sum of its proper divisors (246952683).

464909013 is a wasteful number, since it uses less digits than its factorization.

464909013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3545 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 464909013 is about 21561.7488390900. The cubic root of 464909013 is about 774.6805554094.

The spelling of 464909013 in words is "four hundred sixty-four million, nine hundred nine thousand, thirteen".