257220480 has 256 divisors, whose sum is σ = 942969600. Its totient is φ = 58982400.

The previous prime is 257220451. The next prime is 257220493. The reversal of 257220480 is 84022752.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400960 + ... + 401600.

It is an arithmetic number, because the mean of its divisors is an integer number (3683475).

Almost surely, 2^257220480 is an apocalyptic number.

257220480 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 257220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471484800).

257220480 is an abundant number, since it is smaller than the sum of its proper divisors (685749120).

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

257220480 is a wasteful number, since it uses less digits than its factorization.

257220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 257220480 is about 16038.0946499265. The cubic root of 257220480 is about 635.9678793952.

The spelling of 257220480 in words is "two hundred fifty-seven million, two hundred twenty thousand, four hundred eighty".