1957264560 has 400 divisors, whose sum is σ = 7146105120. Its totient is φ = 496005120.

The previous prime is 1957264493. The next prime is 1957264609. The reversal of 1957264560 is 654627591.

1957264560 is a `hidden beast` number, since 19 + 5 + 72 + 6 + 4 + 560 = 666.

1957264560 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 14080971 + ... + 14081109.

Almost surely, 2^1957264560 is an apocalyptic number.

1957264560 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 1957264560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573052560).

1957264560 is an abundant number, since it is smaller than the sum of its proper divisors (5188840560).

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

1957264560 is a wasteful number, since it uses less digits than its factorization.

1957264560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 1957264560 is about 44240.9828100597. The cubic root of 1957264560 is about 1250.8824829658.

The spelling of 1957264560 in words is "one billion, nine hundred fifty-seven million, two hundred sixty-four thousand, five hundred sixty".