374306400 has 576 divisors, whose sum is σ = 1539901440. Its totient is φ = 87091200.

The previous prime is 374306389. The next prime is 374306411. The reversal of 374306400 is 4603473.

It is an interprime number because it is at equal distance from previous prime (374306389) and next prime (374306411).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8704779 + ... + 8704821.

It is an arithmetic number, because the mean of its divisors is an integer number (2673440).

Almost surely, 2^374306400 is an apocalyptic number.

374306400 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 374306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769950720).

374306400 is an abundant number, since it is smaller than the sum of its proper divisors (1165595040).

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

374306400 is a wasteful number, since it uses less digits than its factorization.

374306400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 374306400 is about 19346.9997674058. Note that the first 3 decimals coincide. The cubic root of 374306400 is about 720.6799132950.

Adding to 374306400 its reverse (4603473), we get a palindrome (378909873).

The spelling of 374306400 in words is "three hundred seventy-four million, three hundred six thousand, four hundred".