374568480400 has 135 divisors (see below), whose sum is σ = 914876621449. Its totient is φ = 147374416000.

The previous prime is 374568480389. The next prime is 374568480401. The reversal of 374568480400 is 4084865473.

The square root of 374568480400 is 612020.

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., 134844652944 + 239723827456 = 367212^2 + 489616^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (374568480401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 869068185 + ... + 869068615.

Almost surely, 2^374568480400 is an apocalyptic number.

374568480400 is the 612020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374568480400

374568480400 is an abundant number, since it is smaller than the sum of its proper divisors (540308141049).

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

374568480400 is an frugal number, since it uses more digits than its factorization.

374568480400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 49.

Multiplying 374568480400 by its sum of digits (49), we get a square (18353855539600 = 4284140²).

The spelling of 374568480400 in words is "three hundred seventy-four billion, five hundred sixty-eight million, four hundred eighty thousand, four hundred".