1538790400 has 264 divisors, whose sum is σ = 4516107776. Its totient is φ = 508723200.

The previous prime is 1538790397. The next prime is 1538790403. The reversal of 1538790400 is 40978351.

It is an interprime number because it is at equal distance from previous prime (1538790397) and next prime (1538790403).

It is a self number, because there is not a number n which added to its sum of digits gives 1538790400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538790403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5555062 + ... + 5555338.

Almost surely, 2^1538790400 is an apocalyptic number.

1538790400 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 1538790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2258053888).

1538790400 is an abundant number, since it is smaller than the sum of its proper divisors (2977317376).

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

1538790400 is a wasteful number, since it uses less digits than its factorization.

1538790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 1538790400 is about 39227.4189821354. The cubic root of 1538790400 is about 1154.4979233688.

The spelling of 1538790400 in words is "one billion, five hundred thirty-eight million, seven hundred ninety thousand, four hundred".