379494720 has 350 divisors, whose sum is σ = 1484913210. Its totient is φ = 91998720.

The previous prime is 379494707. The next prime is 379494751. The reversal of 379494720 is 27494973.

It can be written as a sum of positive squares in only one way, i.e., 303595776 + 75898944 = 17424^2 + 8712^2 .

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 49 ways as a sum of consecutive naturals, for example, 34499515 + ... + 34499525.

Almost surely, 2^379494720 is an apocalyptic number.

379494720 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 379494720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742456605).

379494720 is an abundant number, since it is smaller than the sum of its proper divisors (1105418490).

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

379494720 is an frugal number, since it uses more digits than its factorization.

379494720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 379494720 is about 19480.6242199782. The cubic root of 379494720 is about 723.9944649211.

Multiplying 379494720 by its sum of digits (45), we get a square (17077262400 = 130680²).

379494720 divided by its sum of digits (45) gives a square (8433216 = 2904²).

The spelling of 379494720 in words is "three hundred seventy-nine million, four hundred ninety-four thousand, seven hundred twenty".