1157476400 has 60 divisors (see below), whose sum is σ = 2816114400. Its totient is φ = 457117440.

The previous prime is 1157476363. The next prime is 1157476423. The reversal of 1157476400 is 46747511.

It is a happy number.

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, 13286 + ... + 49914.

It is an arithmetic number, because the mean of its divisors is an integer number (46935240).

Almost surely, 2^1157476400 is an apocalyptic number.

1157476400 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 1157476400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1408057200).

1157476400 is an abundant number, since it is smaller than the sum of its proper divisors (1658638000).

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

1157476400 is a wasteful number, since it uses less digits than its factorization.

1157476400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36726 (or 36715 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 1157476400 is about 34021.7048367656. The cubic root of 1157476400 is about 1049.9550698839.

The spelling of 1157476400 in words is "one billion, one hundred fifty-seven million, four hundred seventy-six thousand, four hundred".