407972037 has 16 divisors (see below), whose sum is σ = 600929280. Its totient is φ = 244124400.

The previous prime is 407972023. The next prime is 407972039. The reversal of 407972037 is 730279704.

It is not a de Polignac number, because 407972037 - 2⁴ = 407972021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 407971986 and 407972004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407972039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75639 + ... + 80852.

It is an arithmetic number, because the mean of its divisors is an integer number (37558080).

Almost surely, 2^407972037 is an apocalyptic number.

It is an amenable number.

407972037 is a deficient number, since it is larger than the sum of its proper divisors (192957243).

407972037 is a wasteful number, since it uses less digits than its factorization.

407972037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156584.

The product of its (nonzero) digits is 74088, while the sum is 39.

The square root of 407972037 is about 20198.3176774701. The cubic root of 407972037 is about 741.6690092142.

The spelling of 407972037 in words is "four hundred seven million, nine hundred seventy-two thousand, thirty-seven".