1163354400 has 360 divisors, whose sum is σ = 4572183924. Its totient is φ = 286156800.

The previous prime is 1163354393. The next prime is 1163354411. The reversal of 1163354400 is 44533611.

1163354400 is a `hidden beast` number, since 116 + 3 + 3 + 544 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 198133776 + 965220624 = 14076^2 + 31068^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 841710 + ... + 843090.

Almost surely, 2^1163354400 is an apocalyptic number.

1163354400 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 1163354400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286091962).

1163354400 is an abundant number, since it is smaller than the sum of its proper divisors (3408829524).

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

1163354400 is a wasteful number, since it uses less digits than its factorization.

1163354400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1163354400 is about 34107.9814706177. The cubic root of 1163354400 is about 1051.7293949466.

The spelling of 1163354400 in words is "one billion, one hundred sixty-three million, three hundred fifty-four thousand, four hundred".