379264416 has 72 divisors (see below), whose sum is σ = 1028970432. Its totient is φ = 122313600.

The previous prime is 379264381. The next prime is 379264427. The reversal of 379264416 is 614462973.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90201 + ... + 94311.

It is an arithmetic number, because the mean of its divisors is an integer number (14291256).

Almost surely, 2^379264416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379264416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514485216).

379264416 is an abundant number, since it is smaller than the sum of its proper divisors (649706016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

379264416 is a wasteful number, since it uses less digits than its factorization.

379264416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4186 (or 4147 counting only the distinct ones).

The product of its digits is 217728, while the sum is 42.

The square root of 379264416 is about 19474.7122186696. The cubic root of 379264416 is about 723.8479784191.

The spelling of 379264416 in words is "three hundred seventy-nine million, two hundred sixty-four thousand, four hundred sixteen".