1538900400 has 60 divisors (see below), whose sum is σ = 4929614792. Its totient is φ = 410373120.

The previous prime is 1538900359. The next prime is 1538900423. The reversal of 1538900400 is 40098351.

1538900400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-3 number, since 3×1538900400³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 640009 + ... + 642408.

Almost surely, 2^1538900400 is an apocalyptic number.

1538900400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1538900400 is an abundant number, since it is smaller than the sum of its proper divisors (3390714392).

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

1538900400 is a wasteful number, since it uses less digits than its factorization.

1538900400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282438 (or 1282427 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1538900400 is about 39228.8210375994. The cubic root of 1538900400 is about 1154.5254323667.

Adding to 1538900400 its reverse (40098351), we get a palindrome (1578998751).

The spelling of 1538900400 in words is "one billion, five hundred thirty-eight million, nine hundred thousand, four hundred".