1157710464 has 192 divisors, whose sum is σ = 3463167240. Its totient is φ = 370925568.

The previous prime is 1157710459. The next prime is 1157710471. The reversal of 1157710464 is 4640177511.

1157710464 is a `hidden beast` number, since 11 + 577 + 10 + 4 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1156544064 + 1166400 = 34008^2 + 1080^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6691882 + ... + 6692054.

Almost surely, 2^1157710464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157710464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731583620).

1157710464 is an abundant number, since it is smaller than the sum of its proper divisors (2305456776).

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

1157710464 is a wasteful number, since it uses less digits than its factorization.

1157710464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1157710464 is about 34025.1445845569. The cubic root of 1157710464 is about 1050.0258388199.

Adding to 1157710464 its reverse (4640177511), we get a palindrome (5797887975).

The spelling of 1157710464 in words is "one billion, one hundred fifty-seven million, seven hundred ten thousand, four hundred sixty-four".