389222400 has 312 divisors, whose sum is σ = 1478835904. Its totient is φ = 88473600.

The previous prime is 389222381. The next prime is 389222411. The reversal of 389222400 is 4222983.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2150310 + ... + 2150490.

Almost surely, 2^389222400 is an apocalyptic number.

389222400 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 389222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (739417952).

389222400 is an abundant number, since it is smaller than the sum of its proper divisors (1089613504).

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

389222400 is a wasteful number, since it uses less digits than its factorization.

389222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 389222400 is about 19728.7201815019. The cubic root of 389222400 is about 730.1284567839.

The spelling of 389222400 in words is "three hundred eighty-nine million, two hundred twenty-two thousand, four hundred".