257400257400 has 576 divisors, whose sum is σ = 1025719662240. Its totient is φ = 57024000000.

The previous prime is 257400257399. The next prime is 257400257417. The reversal of 257400257400 is 4752004752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25992450 + ... + 26002350.

Almost surely, 2^257400257400 is an apocalyptic number.

257400257400 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 257400257400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512859831120).

257400257400 is an abundant number, since it is smaller than the sum of its proper divisors (768319404840).

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

257400257400 is a wasteful number, since it uses less digits than its factorization.

257400257400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10048 (or 10036 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The spelling of 257400257400 in words is "two hundred fifty-seven billion, four hundred million, two hundred fifty-seven thousand, four hundred".