1162406400 has 120 divisors (see below), whose sum is σ = 3840063744. Its totient is φ = 309964800.

The previous prime is 1162406389. The next prime is 1162406461. The reversal of 1162406400 is 46042611.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 23265 + ... + 53535.

Almost surely, 2^1162406400 is an apocalyptic number.

1162406400 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 1162406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920031872).

1162406400 is an abundant number, since it is smaller than the sum of its proper divisors (2677657344).

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

1162406400 is an equidigital number, since it uses as much as digits as its factorization.

1162406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30302 (or 30281 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1162406400 is about 34094.0815978375. The cubic root of 1162406400 is about 1051.4436378253.

The spelling of 1162406400 in words is "one billion, one hundred sixty-two million, four hundred six thousand, four hundred".