1157407416 has 96 divisors (see below), whose sum is σ = 3425451120. Its totient is φ = 350131200.

The previous prime is 1157407411. The next prime is 1157407463. The reversal of 1157407416 is 6147047511.

1157407416 is a `hidden beast` number, since 1 + 1 + 574 + 0 + 74 + 16 = 666.

It is a super-2 number, since 2×1157407416² = 2679183853223594112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157407411) 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, 744496 + ... + 746048.

Almost surely, 2^1157407416 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 1157407416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712725560).

1157407416 is an abundant number, since it is smaller than the sum of its proper divisors (2268043704).

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

1157407416 is a wasteful number, since it uses less digits than its factorization.

1157407416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2510 counting only the distinct ones).

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

The square root of 1157407416 is about 34020.6909982734. The cubic root of 1157407416 is about 1049.9342108440.

The spelling of 1157407416 in words is "one billion, one hundred fifty-seven million, four hundred seven thousand, four hundred sixteen".