382052400 has 60 divisors (see below), whose sum is σ = 1223845032. Its totient is φ = 101880320.

The previous prime is 382052393. The next prime is 382052423. The reversal of 382052400 is 4250283.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 157989 + ... + 160388.

Almost surely, 2^382052400 is an apocalyptic number.

382052400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382052400 is an abundant number, since it is smaller than the sum of its proper divisors (841792632).

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

382052400 is a wasteful number, since it uses less digits than its factorization.

382052400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318398 (or 318387 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 382052400 is about 19546.1607483413. The cubic root of 382052400 is about 725.6173259713.

The spelling of 382052400 in words is "three hundred eighty-two million, fifty-two thousand, four hundred".