382429800 has 72 divisors (see below), whose sum is σ = 1284332790. Its totient is φ = 101980800.

The previous prime is 382429793. The next prime is 382429811. The reversal of 382429800 is 8924283.

It can be written as a sum of positive squares in 3 ways, for example, as 172817316 + 209612484 = 13146^2 + 14478^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 17 ways as a sum of consecutive naturals, for example, 104431 + ... + 108030.

Almost surely, 2^382429800 is an apocalyptic number.

382429800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

382429800 is an abundant number, since it is smaller than the sum of its proper divisors (901902990).

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

382429800 is a wasteful number, since it uses less digits than its factorization.

382429800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212483 (or 212471 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 382429800 is about 19555.8124351815. The cubic root of 382429800 is about 725.8561744096.

The spelling of 382429800 in words is "three hundred eighty-two million, four hundred twenty-nine thousand, eight hundred".