379964520 has 384 divisors, whose sum is σ = 1438295040. Its totient is φ = 89579520.

The previous prime is 379964491. The next prime is 379964537. The reversal of 379964520 is 25469973.

It is a happy number.

379964520 is a `hidden beast` number, since 37 + 9 + 96 + 4 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3917112 + ... + 3917208.

It is an arithmetic number, because the mean of its divisors is an integer number (3745560).

Almost surely, 2^379964520 is an apocalyptic number.

379964520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 379964520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719147520).

379964520 is an abundant number, since it is smaller than the sum of its proper divisors (1058330520).

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

379964520 is a wasteful number, since it uses less digits than its factorization.

379964520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 379964520 is about 19492.6786255763. The cubic root of 379964520 is about 724.2931009065.

The spelling of 379964520 in words is "three hundred seventy-nine million, nine hundred sixty-four thousand, five hundred twenty".