1254975456 has 144 divisors (see below), whose sum is σ = 3847253760. Its totient is φ = 357154560.

The previous prime is 1254975451. The next prime is 1254975487. The reversal of 1254975456 is 6545794521.

1254975456 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 (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254975451) 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, 2027115 + ... + 2027733.

It is an arithmetic number, because the mean of its divisors is an integer number (26717040).

Almost surely, 2^1254975456 is an apocalyptic number.

1254975456 is a gapful number since it is divisible by the number (16) 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 1254975456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1923626880).

1254975456 is an abundant number, since it is smaller than the sum of its proper divisors (2592278304).

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

1254975456 is a wasteful number, since it uses less digits than its factorization.

1254975456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1062 counting only the distinct ones).

The product of its digits is 1512000, while the sum is 48.

The square root of 1254975456 is about 35425.6327536997. The cubic root of 1254975456 is about 1078.6446922342.

The spelling of 1254975456 in words is "one billion, two hundred fifty-four million, nine hundred seventy-five thousand, four hundred fifty-six".