257480400 has 240 divisors, whose sum is σ = 907799040. Its totient is φ = 62092800.

The previous prime is 257480393. The next prime is 257480407. The reversal of 257480400 is 4084752.

It is an interprime number because it is at equal distance from previous prime (257480393) and next prime (257480407).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257480407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 524155 + ... + 524645.

It is an arithmetic number, because the mean of its divisors is an integer number (3782496).

Almost surely, 2^257480400 is an apocalyptic number.

257480400 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 257480400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453899520).

257480400 is an abundant number, since it is smaller than the sum of its proper divisors (650318640).

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

257480400 is a wasteful number, since it uses less digits than its factorization.

257480400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 543 counting only the distinct ones).

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

The square root of 257480400 is about 16046.1958108456. The cubic root of 257480400 is about 636.1820213950.

The spelling of 257480400 in words is "two hundred fifty-seven million, four hundred eighty thousand, four hundred".