1157466240 has 384 divisors, whose sum is σ = 4772131200. Its totient is φ = 264370176.

The previous prime is 1157466239. The next prime is 1157466281. The reversal of 1157466240 is 426647511.

1157466240 is a `hidden beast` number, since 1 + 1 + 574 + 66 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 1157466195 and 1157466204.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 846037 + ... + 847403.

It is an arithmetic number, because the mean of its divisors is an integer number (12427425).

Almost surely, 2^1157466240 is an apocalyptic number.

1157466240 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 1157466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386065600).

1157466240 is an abundant number, since it is smaller than the sum of its proper divisors (3614664960).

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

1157466240 is a wasteful number, since it uses less digits than its factorization.

1157466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1157466240 is about 34021.5555199935. Note that the first 4 decimals coincide. The cubic root of 1157466240 is about 1049.9519978055.

The spelling of 1157466240 in words is "one billion, one hundred fifty-seven million, four hundred sixty-six thousand, two hundred forty".