1254760540 has 48 divisors (see below), whose sum is σ = 2884914144. Its totient is φ = 454630400.

The previous prime is 1254760501. The next prime is 1254760541. The reversal of 1254760540 is 450674521.

It is a junction number, because it is equal to n+sod(n) for n = 1254760496 and 1254760505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1254760541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51672 + ... + 71968.

It is an arithmetic number, because the mean of its divisors is an integer number (60102378).

Almost surely, 2^1254760540 is an apocalyptic number.

1254760540 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 1254760540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442457072).

1254760540 is an abundant number, since it is smaller than the sum of its proper divisors (1630153604).

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

1254760540 is a wasteful number, since it uses less digits than its factorization.

1254760540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20598 (or 20596 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 34.

The square root of 1254760540 is about 35422.5992835083. The cubic root of 1254760540 is about 1078.5831156682.

The spelling of 1254760540 in words is "one billion, two hundred fifty-four million, seven hundred sixty thousand, five hundred forty".