257200420 has 48 divisors (see below), whose sum is σ = 560654640. Its totient is φ = 98993664.

The previous prime is 257200387. The next prime is 257200423. The reversal of 257200420 is 24002752.

It can be written as a sum of positive squares in 8 ways, for example, as 16826404 + 240374016 = 4102^2 + 15504^2 .

It is a junction number, because it is equal to n+sod(n) for n = 257200391 and 257200400.

It is not an unprimeable number, because it can be changed into a prime (257200423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229702 + ... + 230818.

It is an arithmetic number, because the mean of its divisors is an integer number (11680305).

Almost surely, 2^257200420 is an apocalyptic number.

257200420 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 257200420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280327320).

257200420 is an abundant number, since it is smaller than the sum of its proper divisors (303454220).

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

257200420 is a wasteful number, since it uses less digits than its factorization.

257200420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1552 (or 1550 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 257200420 is about 16037.4692517242. The cubic root of 257200420 is about 635.9513464357.

The spelling of 257200420 in words is "two hundred fifty-seven million, two hundred thousand, four hundred twenty".