1254792960 has 108 divisors (see below), whose sum is σ = 4341492792. Its totient is φ = 334608384.

The previous prime is 1254792949. The next prime is 1254792961. The reversal of 1254792960 is 692974521.

1254792960 is a `hidden beast` number, since 12 + 547 + 9 + 2 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254792961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42942 + ... + 65981.

Almost surely, 2^1254792960 is an apocalyptic number.

1254792960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1254792960 is an abundant number, since it is smaller than the sum of its proper divisors (3086699832).

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

1254792960 is a wasteful number, since it uses less digits than its factorization.

1254792960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108950 (or 108933 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 1254792960 is about 35423.0568980149. The cubic root of 1254792960 is about 1078.5924049210.

The spelling of 1254792960 in words is "one billion, two hundred fifty-four million, seven hundred ninety-two thousand, nine hundred sixty".