1539538920 has 256 divisors, whose sum is σ = 5368032000. Its totient is φ = 392076288.

The previous prime is 1539538901. The next prime is 1539538927. The reversal of 1539538920 is 298359351.

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

It is not an unprimeable number, because it can be changed into a prime (1539538927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2357314 + ... + 2357966.

It is an arithmetic number, because the mean of its divisors is an integer number (20968875).

Almost surely, 2^1539538920 is an apocalyptic number.

1539538920 is a gapful number since it is divisible by the number (10) 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 1539538920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2684016000).

1539538920 is an abundant number, since it is smaller than the sum of its proper divisors (3828493080).

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

1539538920 is a wasteful number, since it uses less digits than its factorization.

1539538920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769 (or 759 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 1539538920 is about 39236.9585977303. The cubic root of 1539538920 is about 1154.6850887128.

The spelling of 1539538920 in words is "one billion, five hundred thirty-nine million, five hundred thirty-eight thousand, nine hundred twenty".