1157418480 has 160 divisors (see below), whose sum is σ = 3922034688. Its totient is φ = 281088000.

The previous prime is 1157418461. The next prime is 1157418523. The reversal of 1157418480 is 848147511.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 121905 + ... + 131055.

Almost surely, 2^1157418480 is an apocalyptic number.

1157418480 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 1157418480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1961017344).

1157418480 is an abundant number, since it is smaller than the sum of its proper divisors (2764616208).

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

1157418480 is a wasteful number, since it uses less digits than its factorization.

1157418480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9215 (or 9209 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 39.

The square root of 1157418480 is about 34020.8536048113. The cubic root of 1157418480 is about 1049.9375563772.

The spelling of 1157418480 in words is "one billion, one hundred fifty-seven million, four hundred eighteen thousand, four hundred eighty".