1157255424 has 324 divisors, whose sum is σ = 3801735756. Its totient is φ = 349360128.

The previous prime is 1157255417. The next prime is 1157255443. The reversal of 1157255424 is 4245527511.

1157255424 is a `hidden beast` number, since 1 + 15 + 72 + 554 + 24 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 485409024 + 671846400 = 22032^2 + 25920^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21834982 + ... + 21835034.

It is a vampire number, since it can be written as 15552 ⋅ 74412 (with its own digits).

Almost surely, 2^1157255424 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 1157255424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1900867878).

1157255424 is an abundant number, since it is smaller than the sum of its proper divisors (2644480332).

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

1157255424 is an frugal number, since it uses more digits than its factorization.

1157255424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 71 counting only the distinct ones).

The product of its digits is 56000, while the sum is 36.

The square root of 1157255424 is about 34018.4571078701. The cubic root of 1157255424 is about 1049.8882493314. Note that the first 3 decimals are identical.

The spelling of 1157255424 in words is "one billion, one hundred fifty-seven million, two hundred fifty-five thousand, four hundred twenty-four".