1538694400 has 54 divisors (see below), whose sum is σ = 3808524902. Its totient is φ = 615475200.

The previous prime is 1538694373. The next prime is 1538694403. The reversal of 1538694400 is 44968351.

It can be written as a sum of positive squares in 3 ways, for example, as 367412224 + 1171282176 = 19168^2 + 34224^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1538694403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 113811 + ... + 126610.

Almost surely, 2^1538694400 is an apocalyptic number.

1538694400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1538694400 is an abundant number, since it is smaller than the sum of its proper divisors (2269830502).

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

1538694400 is an equidigital number, since it uses as much as digits as its factorization.

1538694400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240447 (or 240428 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The square root of 1538694400 is about 39226.1953291420. The cubic root of 1538694400 is about 1154.4739144447.

The spelling of 1538694400 in words is "one billion, five hundred thirty-eight million, six hundred ninety-four thousand, four hundred".