374242400 has 108 divisors (see below), whose sum is σ = 1062892908. Its totient is φ = 128298240.

The previous prime is 374242387. The next prime is 374242441. The reversal of 374242400 is 4242473.

It is a self number, because there is not a number n which added to its sum of digits gives 374242400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34427 + ... + 43973.

It is an arithmetic number, because the mean of its divisors is an integer number (9841601).

Almost surely, 2^374242400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 374242400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531446454).

374242400 is an abundant number, since it is smaller than the sum of its proper divisors (688650508).

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

374242400 is a wasteful number, since it uses less digits than its factorization.

374242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9581 (or 9561 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 26.

The square root of 374242400 is about 19345.3456934737. The cubic root of 374242400 is about 720.6388363026.

Adding to 374242400 its reverse (4242473), we get a palindrome (378484873).

The spelling of 374242400 in words is "three hundred seventy-four million, two hundred forty-two thousand, four hundred".