1538867200 has 270 divisors, whose sum is σ = 4365809546. Its totient is φ = 534773760.

The previous prime is 1538867179. The next prime is 1538867207. The reversal of 1538867200 is 27688351.

It can be written as a sum of positive squares in 9 ways, for example, as 272646144 + 1266221056 = 16512^2 + 35584^2 .

It is a super-2 number, since 2×1538867200² = 4736224518471680000, which contains 22 as substring.

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 (1538867207) 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 17 ways as a sum of consecutive naturals, for example, 90521592 + ... + 90521608.

Almost surely, 2^1538867200 is an apocalyptic number.

1538867200 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 1538867200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2182904773).

1538867200 is an abundant number, since it is smaller than the sum of its proper divisors (2826942346).

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

1538867200 is an equidigital number, since it uses as much as digits as its factorization.

1538867200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The square root of 1538867200 is about 39228.3978770482. The cubic root of 1538867200 is about 1154.5171297891.

The spelling of 1538867200 in words is "one billion, five hundred thirty-eight million, eight hundred sixty-seven thousand, two hundred".