1157381280 has 288 divisors, whose sum is σ = 4449489408. Its totient is φ = 271411200.

The previous prime is 1157381279. The next prime is 1157381287. The reversal of 1157381280 is 821837511.

1157381280 is a `hidden beast` number, since 1 + 1 + 573 + 8 + 1 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (1157381287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 489862 + ... + 492218.

It is an arithmetic number, because the mean of its divisors is an integer number (15449616).

Almost surely, 2^1157381280 is an apocalyptic number.

1157381280 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 1157381280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2224744704).

1157381280 is an abundant number, since it is smaller than the sum of its proper divisors (3292108128).

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

1157381280 is a wasteful number, since it uses less digits than its factorization.

1157381280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2409 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 1157381280 is about 34020.3068769228. The cubic root of 1157381280 is about 1049.9263077533.

The spelling of 1157381280 in words is "one billion, one hundred fifty-seven million, three hundred eighty-one thousand, two hundred eighty".