1150566400 has 135 divisors (see below), whose sum is σ = 2908169551. Its totient is φ = 451543040.

The previous prime is 1150566383. The next prime is 1150566419. The reversal of 1150566400 is 46650511.

The square root of 1150566400 is 33920.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 8667136 + 1141899264 = 2944^2 + 33792^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 21708774 + ... + 21708826.

Almost surely, 2^1150566400 is an apocalyptic number.

1150566400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1150566400 is the 33920-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1150566400

1150566400 is an abundant number, since it is smaller than the sum of its proper divisors (1757603151).

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

1150566400 is an frugal number, since it uses more digits than its factorization.

1150566400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The cubic root of 1150566400 is about 1047.8615282345.

Multiplying 1150566400 by its product of nonzero digits (3600), we get a square (4142039040000 = 2035200²).

The spelling of 1150566400 in words is "one billion, one hundred fifty million, five hundred sixty-six thousand, four hundred".