383993400 has 288 divisors, whose sum is σ = 1426181040. Its totient is φ = 85155840.

The previous prime is 383993381. The next prime is 383993411. The reversal of 383993400 is 4399383.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1087624 + ... + 1087976.

Almost surely, 2^383993400 is an apocalyptic number.

383993400 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 383993400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (713090520).

383993400 is an abundant number, since it is smaller than the sum of its proper divisors (1042187640).

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

383993400 is a wasteful number, since it uses less digits than its factorization.

383993400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 383993400 is about 19595.7495391220. The cubic root of 383993400 is about 726.8440728743.

The spelling of 383993400 in words is "three hundred eighty-three million, nine hundred ninety-three thousand, four hundred".