257040400 has 60 divisors (see below), whose sum is σ = 621624772. Its totient is φ = 102136320.

The previous prime is 257040361. The next prime is 257040409. The reversal of 257040400 is 4040752.

It can be written as a sum of positive squares in 6 ways, for example, as 21233664 + 235806736 = 4608^2 + 15356^2 .

It is not an unprimeable number, because it can be changed into a prime (257040409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60754 + ... + 64846.

Almost surely, 2^257040400 is an apocalyptic number.

257040400 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 257040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310812386).

257040400 is an abundant number, since it is smaller than the sum of its proper divisors (364584372).

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

257040400 is a wasteful number, since it uses less digits than its factorization.

257040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4268 (or 4257 counting only the distinct ones).

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

The square root of 257040400 is about 16032.4795337465. The cubic root of 257040400 is about 635.8194310906.

The spelling of 257040400 in words is "two hundred fifty-seven million, forty thousand, four hundred".