1254870540 has 288 divisors, whose sum is σ = 4875945984. Its totient is φ = 253601280.

The previous prime is 1254870517. The next prime is 1254870569. The reversal of 1254870540 is 450784521.

1254870540 is a `hidden beast` number, since 1 + 2 + 5 + 48 + 70 + 540 = 666.

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 = 1254870495 and 1254870504.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 511597 + ... + 514043.

It is an arithmetic number, because the mean of its divisors is an integer number (16930368).

Almost surely, 2^1254870540 is an apocalyptic number.

1254870540 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 1254870540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437972992).

1254870540 is an abundant number, since it is smaller than the sum of its proper divisors (3621075444).

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

1254870540 is a wasteful number, since it uses less digits than its factorization.

1254870540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2517 (or 2512 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 1254870540 is about 35424.1519305685. The cubic root of 1254870540 is about 1078.6146331496.

The spelling of 1254870540 in words is "one billion, two hundred fifty-four million, eight hundred seventy thousand, five hundred forty".