389862720 has 420 divisors, whose sum is σ = 1518566940. Its totient is φ = 94887936.

The previous prime is 389862701. The next prime is 389862743. The reversal of 389862720 is 27268983.

It can be written as a sum of positive squares in 6 ways, for example, as 134374464 + 255488256 = 11592^2 + 15984^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380436 + ... + 4380524.

Almost surely, 2^389862720 is an apocalyptic number.

389862720 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 389862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759283470).

389862720 is an abundant number, since it is smaller than the sum of its proper divisors (1128704220).

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

389862720 is a wasteful number, since it uses less digits than its factorization.

389862720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 389862720 is about 19744.9416307063. The cubic root of 389862720 is about 730.5286219279.

The spelling of 389862720 in words is "three hundred eighty-nine million, eight hundred sixty-two thousand, seven hundred twenty".