1157950440 has 384 divisors, whose sum is σ = 4217241600. Its totient is φ = 274337280.

The previous prime is 1157950429. The next prime is 1157950447. The reversal of 1157950440 is 440597511.

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 = 1157950395 and 1157950404.

It is not an unprimeable number, because it can be changed into a prime (1157950447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9117657 + ... + 9117783.

It is an arithmetic number, because the mean of its divisors is an integer number (10982400).

Almost surely, 2^1157950440 is an apocalyptic number.

1157950440 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 1157950440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108620800).

1157950440 is an abundant number, since it is smaller than the sum of its proper divisors (3059291160).

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

1157950440 is a wasteful number, since it uses less digits than its factorization.

1157950440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1157950440 is about 34028.6708526795. The cubic root of 1157950440 is about 1050.0983853388.

The spelling of 1157950440 in words is "one billion, one hundred fifty-seven million, nine hundred fifty thousand, four hundred forty".