255219400 has 96 divisors (see below), whose sum is σ = 638352000. Its totient is φ = 94590720.

The previous prime is 255219347. The next prime is 255219403. The reversal of 255219400 is 4912552.

It is not an unprimeable number, because it can be changed into a prime (255219403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 177886 + ... + 179314.

It is an arithmetic number, because the mean of its divisors is an integer number (6649500).

Almost surely, 2^255219400 is an apocalyptic number.

255219400 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 255219400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319176000).

255219400 is an abundant number, since it is smaller than the sum of its proper divisors (383132600).

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

255219400 is a wasteful number, since it uses less digits than its factorization.

255219400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1511 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 255219400 is about 15975.5876261251. The cubic root of 255219400 is about 634.3143859676.

It can be divided in two parts, 2552 and 19400, that added together give a cube (21952 = 28³).

The spelling of 255219400 in words is "two hundred fifty-five million, two hundred nineteen thousand, four hundred".