1957812480 has 432 divisors, whose sum is σ = 7734046320. Its totient is φ = 452984832.

The previous prime is 1957812473. The next prime is 1957812481. The reversal of 1957812480 is 842187591.

1957812480 is a `hidden beast` number, since 1 + 95 + 7 + 81 + 2 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 58247424 + 1899565056 = 7632^2 + 43584^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1957812481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2545536 + ... + 2546304.

It is an arithmetic number, because the mean of its divisors is an integer number (17902885).

Almost surely, 2^1957812480 is an apocalyptic number.

1957812480 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 1957812480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3867023160).

1957812480 is an abundant number, since it is smaller than the sum of its proper divisors (5776233840).

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

1957812480 is a wasteful number, since it uses less digits than its factorization.

1957812480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1957812480 is about 44247.1748250665. The cubic root of 1957812480 is about 1250.9991968051. Note that the first 3 decimals are identical.

The spelling of 1957812480 in words is "one billion, nine hundred fifty-seven million, eight hundred twelve thousand, four hundred eighty".