407306464 has 24 divisors (see below), whose sum is σ = 821445408. Its totient is φ = 198685440.

The previous prime is 407306461. The next prime is 407306533. The reversal of 407306464 is 464603704.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407306461) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 153912 + ... + 156535.

It is an arithmetic number, because the mean of its divisors is an integer number (34226892).

Almost surely, 2^407306464 is an apocalyptic number.

It is an amenable number.

407306464 is an abundant number, since it is smaller than the sum of its proper divisors (414138944).

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

407306464 is a wasteful number, since it uses less digits than its factorization.

407306464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310498 (or 310490 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 407306464 is about 20181.8350008120. The cubic root of 407306464 is about 741.2654655822.

The spelling of 407306464 in words is "four hundred seven million, three hundred six thousand, four hundred sixty-four".