404952607 has 8 divisors (see below), whose sum is σ = 420593040. Its totient is φ = 389424000.

The previous prime is 404952589. The next prime is 404952619. The reversal of 404952607 is 706259404.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 404952607 - 2⁷ = 404952479 is a prime.

It is a super-2 number, since 2×404952607² = 327973227832192898, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404953607) 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 7 ways as a sum of consecutive naturals, for example, 20538 + ... + 35095.

It is an arithmetic number, because the mean of its divisors is an integer number (52574130).

Almost surely, 2^404952607 is an apocalyptic number.

404952607 is a deficient number, since it is larger than the sum of its proper divisors (15640433).

404952607 is a wasteful number, since it uses less digits than its factorization.

404952607 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55913.

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 404952607 is about 20123.4342744970. The cubic root of 404952607 is about 739.8347616206.

The spelling of 404952607 in words is "four hundred four million, nine hundred fifty-two thousand, six hundred seven".