257472359200 has 288 divisors, whose sum is σ = 789039498240. Its totient is φ = 79993267200.

The previous prime is 257472359161. The next prime is 257472359203. The reversal of 257472359200 is 2953274752.

257472359200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is not an unprimeable number, because it can be changed into a prime (257472359203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2394595 + ... + 2499805.

It is an arithmetic number, because the mean of its divisors is an integer number (2739720480).

Almost surely, 2^257472359200 is an apocalyptic number.

257472359200 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 257472359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394519749120).

257472359200 is an abundant number, since it is smaller than the sum of its proper divisors (531567139040).

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

257472359200 is a wasteful number, since it uses less digits than its factorization.

257472359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105280 (or 105267 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 46.

The spelling of 257472359200 in words is "two hundred fifty-seven billion, four hundred seventy-two million, three hundred fifty-nine thousand, two hundred".