407916379 has 16 divisors (see below), whose sum is σ = 452148928. Its totient is φ = 365565312.

The previous prime is 407916373. The next prime is 407916389. The reversal of 407916379 is 973619704.

It is a cyclic number.

It is not a de Polignac number, because 407916379 - 2⁷ = 407916251 is a prime.

It is a super-3 number, since 3×407916379³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (407916373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 421354 + ... + 422320.

It is an arithmetic number, because the mean of its divisors is an integer number (28259308).

Almost surely, 2^407916379 is an apocalyptic number.

407916379 is a deficient number, since it is larger than the sum of its proper divisors (44232549).

407916379 is a wasteful number, since it uses less digits than its factorization.

407916379 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1894.

The product of its (nonzero) digits is 285768, while the sum is 46.

The square root of 407916379 is about 20196.9398424613. The cubic root of 407916379 is about 741.6352800307.

The spelling of 407916379 in words is "four hundred seven million, nine hundred sixteen thousand, three hundred seventy-nine".