1255909200 has 720 divisors, whose sum is σ = 5300660736. Its totient is φ = 251596800.

The previous prime is 1255909157. The next prime is 1255909201. The reversal of 1255909200 is 29095521.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255909201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 23696374 + ... + 23696426.

Almost surely, 2^1255909200 is an apocalyptic number.

1255909200 is a gapful number since it is divisible by the number (10) 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 1255909200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650330368).

1255909200 is an abundant number, since it is smaller than the sum of its proper divisors (4044751536).

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

1255909200 is a wasteful number, since it uses less digits than its factorization.

1255909200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 33.

The square root of 1255909200 is about 35438.8092350745. The cubic root of 1255909200 is about 1078.9121419059.

The spelling of 1255909200 in words is "one billion, two hundred fifty-five million, nine hundred nine thousand, two hundred".