1957708480 has 448 divisors, whose sum is σ = 6226698240. Its totient is φ = 569327616.

The previous prime is 1957708477. The next prime is 1957708483. The reversal of 1957708480 is 848077591.

It is an interprime number because it is at equal distance from previous prime (1957708477) and next prime (1957708483).

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1957708483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24781081 + ... + 24781159.

It is an arithmetic number, because the mean of its divisors is an integer number (13898880).

Almost surely, 2^1957708480 is an apocalyptic number.

1957708480 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 1957708480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113349120).

1957708480 is an abundant number, since it is smaller than the sum of its proper divisors (4268989760).

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

1957708480 is a wasteful number, since it uses less digits than its factorization.

1957708480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 49.

The square root of 1957708480 is about 44245.9995931836. Note that the first 3 decimals coincide. The cubic root of 1957708480 is about 1250.9770451739.

The spelling of 1957708480 in words is "one billion, nine hundred fifty-seven million, seven hundred eight thousand, four hundred eighty".