389372416 has 40 divisors (see below), whose sum is σ = 785234340. Its totient is φ = 192872448.

The previous prime is 389372413. The next prime is 389372429. The reversal of 389372416 is 614273983.

It can be written as a sum of positive squares in 2 ways, for example, as 387932416 + 1440000 = 19696^2 + 1200^2 .

It is a super-2 number, since 2×389372416² = 303221756683354112, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (389372411) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52320 + ... + 59296.

Almost surely, 2^389372416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 389372416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392617170).

389372416 is an abundant number, since it is smaller than the sum of its proper divisors (395861924).

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

389372416 is an equidigital number, since it uses as much as digits as its factorization.

389372416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7104 (or 7088 counting only the distinct ones).

The product of its digits is 217728, while the sum is 43.

The square root of 389372416 is about 19732.5217851140. The cubic root of 389372416 is about 730.2222479614. Note that the first 4 decimals are identical.

The spelling of 389372416 in words is "three hundred eighty-nine million, three hundred seventy-two thousand, four hundred sixteen".