379904580496 has 45 divisors (see below), whose sum is σ = 856277921361. Its totient is φ = 162808852416.

The previous prime is 379904580491. The next prime is 379904580541. The reversal of 379904580496 is 694085409973.

The square root of 379904580496 is 616364.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 262984352400 + 116920228096 = 512820^2 + 341936^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (379904580491) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17247186 + ... + 17269198.

Almost surely, 2^379904580496 is an apocalyptic number.

379904580496 is the 616364-th square number.

It is an amenable number.

379904580496 is an abundant number, since it is smaller than the sum of its proper divisors (476373340865).

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

379904580496 is an frugal number, since it uses more digits than its factorization.

379904580496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44048 (or 22022 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 64.

Multiplying 379904580496 by its sum of digits (64), we get a square (24313893151744 = 4930912²).

It can be divided in two parts, 379904 and 580496, that added together give a square (960400 = 980²).

The spelling of 379904580496 in words is "three hundred seventy-nine billion, nine hundred four million, five hundred eighty thousand, four hundred ninety-six".