383774400 has 252 divisors, whose sum is σ = 1412595600. Its totient is φ = 98703360.

The previous prime is 383774387. The next prime is 383774437. The reversal of 383774400 is 4477383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 417141 + ... + 418059.

Almost surely, 2^383774400 is an apocalyptic number.

383774400 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 383774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706297800).

383774400 is an abundant number, since it is smaller than the sum of its proper divisors (1028821200).

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

383774400 is a wasteful number, since it uses less digits than its factorization.

383774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 383774400 is about 19590.1607956647. The cubic root of 383774400 is about 726.7058681355.

The spelling of 383774400 in words is "three hundred eighty-three million, seven hundred seventy-four thousand, four hundred".