257364480 has 320 divisors, whose sum is σ = 905084928. Its totient is φ = 62177280.

The previous prime is 257364469. The next prime is 257364509. The reversal of 257364480 is 84463752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5475817 + ... + 5475863.

Almost surely, 2^257364480 is an apocalyptic number.

257364480 is a gapful number since it is divisible by the number (20) 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 257364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452542464).

257364480 is an abundant number, since it is smaller than the sum of its proper divisors (647720448).

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

257364480 is a wasteful number, since it uses less digits than its factorization.

257364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 257364480 is about 16042.5833331169. The cubic root of 257364480 is about 636.0865354346.

The spelling of 257364480 in words is "two hundred fifty-seven million, three hundred sixty-four thousand, four hundred eighty".