1254839040 has 1080 divisors, whose sum is σ = 5920936560. Its totient is φ = 250822656.

The previous prime is 1254839039. The next prime is 1254839057. The reversal of 1254839040 is 409384521.

It is a tau number, because it is divible by the number of its divisors (1080).

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 = 1254838986 and 1254839004.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 66044151 + ... + 66044169.

Almost surely, 2^1254839040 is an apocalyptic number.

1254839040 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 1254839040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2960468280).

1254839040 is an abundant number, since it is smaller than the sum of its proper divisors (4666097520).

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

1254839040 is a wasteful number, since it uses less digits than its factorization.

1254839040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1254839040 is about 35423.7073158640. The cubic root of 1254839040 is about 1078.6056078772.

The spelling of 1254839040 in words is "one billion, two hundred fifty-four million, eight hundred thirty-nine thousand, forty".