389075400 has 480 divisors, whose sum is σ = 1598826240. Its totient is φ = 85847040.

The previous prime is 389075377. The next prime is 389075411. The reversal of 389075400 is 4570983.

It is a super-3 number, since 3×389075400³ (a number of 27 digits) contains 333 as substring.

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 119 ways as a sum of consecutive naturals, for example, 5329764 + ... + 5329836.

It is an arithmetic number, because the mean of its divisors is an integer number (3330888).

Almost surely, 2^389075400 is an apocalyptic number.

389075400 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 389075400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799413120).

389075400 is an abundant number, since it is smaller than the sum of its proper divisors (1209750840).

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

389075400 is a wasteful number, since it uses less digits than its factorization.

389075400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 389075400 is about 19724.9942965771. The cubic root of 389075400 is about 730.0365278525.

The spelling of 389075400 in words is "three hundred eighty-nine million, seventy-five thousand, four hundred".