383198400 has 504 divisors, whose sum is σ = 1547713440. Its totient is φ = 89210880.

The previous prime is 383198399. The next prime is 383198429. The reversal of 383198400 is 4891383.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4305556 + ... + 4305644.

It is an arithmetic number, because the mean of its divisors is an integer number (3070860).

Almost surely, 2^383198400 is an apocalyptic number.

383198400 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 383198400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773856720).

383198400 is an abundant number, since it is smaller than the sum of its proper divisors (1164515040).

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

383198400 is a wasteful number, since it uses less digits than its factorization.

383198400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 383198400 is about 19575.4540177233. The cubic root of 383198400 is about 726.3421195642.

The spelling of 383198400 in words is "three hundred eighty-three million, one hundred ninety-eight thousand, four hundred".