374900400 has 720 divisors, whose sum is σ = 1679059200. Its totient is φ = 78382080.

The previous prime is 374900389. The next prime is 374900401. The reversal of 374900400 is 4009473.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (374900401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 12927586 + ... + 12927614.

Almost surely, 2^374900400 is an apocalyptic number.

374900400 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 374900400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (839529600).

374900400 is an abundant number, since it is smaller than the sum of its proper divisors (1304158800).

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

374900400 is a wasteful number, since it uses less digits than its factorization.

374900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 374900400 is about 19362.3448993142. The cubic root of 374900400 is about 721.0609359196.

Adding to 374900400 its reverse (4009473), we get a palindrome (378909873).

The spelling of 374900400 in words is "three hundred seventy-four million, nine hundred thousand, four hundred".