407604321 has 48 divisors (see below), whose sum is σ = 664410240. Its totient is φ = 239500800.

The previous prime is 407604319. The next prime is 407604331. The reversal of 407604321 is 123406704.

It is not a de Polignac number, because 407604321 - 2¹ = 407604319 is a prime.

It is a super-2 number, since 2×407604321² = 332282564995742082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (407604311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144121 + ... + 146921.

It is an arithmetic number, because the mean of its divisors is an integer number (13841880).

Almost surely, 2^407604321 is an apocalyptic number.

It is an amenable number.

407604321 is a deficient number, since it is larger than the sum of its proper divisors (256805919).

407604321 is a wasteful number, since it uses less digits than its factorization.

407604321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2886 (or 2883 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 407604321 is about 20189.2129861468. The cubic root of 407604321 is about 741.4461135945.

The spelling of 407604321 in words is "four hundred seven million, six hundred four thousand, three hundred twenty-one".