1160280400 has 120 divisors (see below), whose sum is σ = 2902742784. Its totient is φ = 445209600.

The previous prime is 1160280389. The next prime is 1160280403. The reversal of 1160280400 is 40820611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1160280403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1698459 + ... + 1699141.

Almost surely, 2^1160280400 is an apocalyptic number.

1160280400 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 1160280400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451371392).

1160280400 is an abundant number, since it is smaller than the sum of its proper divisors (1742462384).

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

1160280400 is a wasteful number, since it uses less digits than its factorization.

1160280400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 858 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1160280400 is about 34062.8888968625. Note that the first 4 decimals coincide. The cubic root of 1160280400 is about 1050.8022289446.

The spelling of 1160280400 in words is "one billion, one hundred sixty million, two hundred eighty thousand, four hundred".