379249920 has 216 divisors, whose sum is σ = 1499936256. Its totient is φ = 86667264.

The previous prime is 379249903. The next prime is 379249931. The reversal of 379249920 is 29942973.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78289 + ... + 82991.

Almost surely, 2^379249920 is an apocalyptic number.

379249920 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 379249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749968128).

379249920 is an abundant number, since it is smaller than the sum of its proper divisors (1120686336).

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

379249920 is a wasteful number, since it uses less digits than its factorization.

379249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4737 (or 4720 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 379249920 is about 19474.3400401657. The cubic root of 379249920 is about 723.8387561513.

The spelling of 379249920 in words is "three hundred seventy-nine million, two hundred forty-nine thousand, nine hundred twenty".