1957481400 has 288 divisors, whose sum is σ = 7124544000. Its totient is φ = 443278080.

The previous prime is 1957481381. The next prime is 1957481419. The reversal of 1957481400 is 41847591.

It is an interprime number because it is at equal distance from previous prime (1957481381) and next prime (1957481419).

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 71 ways as a sum of consecutive naturals, for example, 4086361 + ... + 4086839.

It is an arithmetic number, because the mean of its divisors is an integer number (24738000).

Almost surely, 2^1957481400 is an apocalyptic number.

1957481400 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 1957481400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3562272000).

1957481400 is an abundant number, since it is smaller than the sum of its proper divisors (5167062600).

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

1957481400 is a wasteful number, since it uses less digits than its factorization.

1957481400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1957481400 is about 44243.4334110724. The cubic root of 1957481400 is about 1250.9286752123.

The spelling of 1957481400 in words is "one billion, nine hundred fifty-seven million, four hundred eighty-one thousand, four hundred".