1957120464 has 80 divisors (see below), whose sum is σ = 5473649664. Its totient is φ = 599001600.

The previous prime is 1957120457. The next prime is 1957120469. The reversal of 1957120464 is 4640217591.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957120469) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110974 + ... + 127394.

Almost surely, 2^1957120464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1957120464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736824832).

1957120464 is an abundant number, since it is smaller than the sum of its proper divisors (3516529200).

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

1957120464 is a wasteful number, since it uses less digits than its factorization.

1957120464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16636 (or 16630 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 1957120464 is about 44239.3542448350. The cubic root of 1957120464 is about 1250.8517850912.

The spelling of 1957120464 in words is "one billion, nine hundred fifty-seven million, one hundred twenty thousand, four hundred sixty-four".