389293200 has 180 divisors, whose sum is σ = 1430648388. Its totient is φ = 97689600.

The previous prime is 389293189. The next prime is 389293231. The reversal of 389293200 is 2392983.

It can be written as a sum of positive squares in 6 ways, for example, as 6230016 + 383063184 = 2496^2 + 19572^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 58020 + ... + 64380.

Almost surely, 2^389293200 is an apocalyptic number.

389293200 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 389293200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715324194).

389293200 is an abundant number, since it is smaller than the sum of its proper divisors (1041355188).

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

389293200 is a wasteful number, since it uses less digits than its factorization.

389293200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6402 (or 6388 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 389293200 is about 19730.5144383009. The cubic root of 389293200 is about 730.1727245005.

The spelling of 389293200 in words is "three hundred eighty-nine million, two hundred ninety-three thousand, two hundred".