1255435200 has 252 divisors, whose sum is σ = 4628809640. Its totient is φ = 334679040.

The previous prime is 1255435177. The next prime is 1255435219. The reversal of 1255435200 is 25345521.

It is a happy number.

1255435200 is a `hidden beast` number, since 1 + 25 + 5 + 435 + 200 = 666.

It is a super-2 number, since 2×1255435200² = 3152235082798080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 387186 + ... + 390414.

Almost surely, 2^1255435200 is an apocalyptic number.

1255435200 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 1255435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2314404820).

1255435200 is an abundant number, since it is smaller than the sum of its proper divisors (3373374440).

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

1255435200 is an equidigital number, since it uses as much as digits as its factorization.

1255435200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3266 (or 3239 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 1255435200 is about 35432.1210203397. The cubic root of 1255435200 is about 1078.7763919897.

The spelling of 1255435200 in words is "one billion, two hundred fifty-five million, four hundred thirty-five thousand, two hundred".