255270400 has 360 divisors, whose sum is σ = 824284296. Its totient is φ = 77414400.

The previous prime is 255270371. The next prime is 255270413. The reversal of 255270400 is 4072552.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6899182 + ... + 6899218.

Almost surely, 2^255270400 is an apocalyptic number.

255270400 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 255270400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412142148).

255270400 is an abundant number, since it is smaller than the sum of its proper divisors (569013896).

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

255270400 is a wasteful number, since it uses less digits than its factorization.

255270400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 255270400 is about 15977.1837318096. The cubic root of 255270400 is about 634.3566344267.

The spelling of 255270400 in words is "two hundred fifty-five million, two hundred seventy thousand, four hundred".