752416413 has 72 divisors (see below), whose sum is σ = 1259928000. Its totient is φ = 398103552.

The previous prime is 752416387. The next prime is 752416417. The reversal of 752416413 is 314614257.

It is not a de Polignac number, because 752416413 - 2⁵ = 752416381 is a prime.

It is a super-2 number, since 2×752416413² = 1132260917103573138, which contains 22 as substring.

Its product of digits (20160) is a multiple of the sum of its prime divisors (315).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (752416417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3780888 + ... + 3781086.

It is an arithmetic number, because the mean of its divisors is an integer number (17499000).

Almost surely, 2^752416413 is an apocalyptic number.

It is an amenable number.

752416413 is a deficient number, since it is larger than the sum of its proper divisors (507511587).

752416413 is a wasteful number, since it uses less digits than its factorization.

752416413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 315 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 752416413 is about 27430.2098606628. The cubic root of 752416413 is about 909.5350089881.

The spelling of 752416413 in words is "seven hundred fifty-two million, four hundred sixteen thousand, four hundred thirteen".