374414400 has 336 divisors, whose sum is σ = 1394642880. Its totient is φ = 98910720.

The previous prime is 374414387. The next prime is 374414429. The reversal of 374414400 is 4414473.

It is a super-2 number, since 2×374414400² = 280372285854720000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3499147 + ... + 3499253.

Almost surely, 2^374414400 is an apocalyptic number.

374414400 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 374414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (697321440).

374414400 is an abundant number, since it is smaller than the sum of its proper divisors (1020228480).

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

374414400 is an equidigital number, since it uses as much as digits as its factorization.

374414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 374414400 is about 19349.7906965424. The cubic root of 374414400 is about 720.7492201035.

Adding to 374414400 its reverse (4414473), we get a palindrome (378828873).

The spelling of 374414400 in words is "three hundred seventy-four million, four hundred fourteen thousand, four hundred".