389624400 has 180 divisors, whose sum is σ = 1475173440. Its totient is φ = 94444800.

The previous prime is 389624387. The next prime is 389624423. The reversal of 389624400 is 4426983.

It is a happy number.

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

It is a super-3 number, since 3×389624400³ (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 a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 34681 + ... + 44519.

It is an arithmetic number, because the mean of its divisors is an integer number (8195408).

Almost surely, 2^389624400 is an apocalyptic number.

389624400 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 389624400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737586720).

389624400 is an abundant number, since it is smaller than the sum of its proper divisors (1085549040).

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

389624400 is a wasteful number, since it uses less digits than its factorization.

389624400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9874 (or 9860 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 389624400 is about 19738.9057447468. The cubic root of 389624400 is about 730.3797361283.

The spelling of 389624400 in words is "three hundred eighty-nine million, six hundred twenty-four thousand, four hundred".