257978822400 has 864 divisors, whose sum is σ = 1043970056640. Its totient is φ = 61931520000.

The previous prime is 257978822329. The next prime is 257978822483. The reversal of 257978822400 is 4228879752.

257978822400 is a `hidden beast` number, since 2 + 57 + 97 + 88 + 22 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92101000 + ... + 92103800.

Almost surely, 2^257978822400 is an apocalyptic number.

257978822400 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 257978822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521985028320).

257978822400 is an abundant number, since it is smaller than the sum of its proper divisors (785991234240).

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

257978822400 is a wasteful number, since it uses less digits than its factorization.

257978822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2890 (or 2865 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 257978822400 in words is "two hundred fifty-seven billion, nine hundred seventy-eight million, eight hundred twenty-two thousand, four hundred".