1255454640 has 560 divisors, whose sum is σ = 5074318080. Its totient is φ = 285534720.

The previous prime is 1255454623. The next prime is 1255454663. The reversal of 1255454640 is 464545521.

1255454640 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 4 + 5 + 4 + 640 = 666.

1255454640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1255454595 and 1255454604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12188829 + ... + 12188931.

Almost surely, 2^1255454640 is an apocalyptic number.

1255454640 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 1255454640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537159040).

1255454640 is an abundant number, since it is smaller than the sum of its proper divisors (3818863440).

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

1255454640 is a wasteful number, since it uses less digits than its factorization.

1255454640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 1255454640 is about 35432.3953466316. The cubic root of 1255454640 is about 1078.7819601265.

The spelling of 1255454640 in words is "one billion, two hundred fifty-five million, four hundred fifty-four thousand, six hundred forty".