1254413120 has 56 divisors (see below), whose sum is σ = 3007233000. Its totient is φ = 498378752.

The previous prime is 1254413107. The next prime is 1254413137. The reversal of 1254413120 is 213144521.

It can be written as a sum of positive squares in 4 ways, for example, as 26050816 + 1228362304 = 5104^2 + 35048^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34526 + ... + 60834.

Almost surely, 2^1254413120 is an apocalyptic number.

1254413120 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 1254413120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503616500).

1254413120 is an abundant number, since it is smaller than the sum of its proper divisors (1752819880).

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

1254413120 is a wasteful number, since it uses less digits than its factorization.

1254413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26475 (or 26465 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 1254413120 is about 35417.6950125216. The cubic root of 1254413120 is about 1078.4835599033.

Adding to 1254413120 its reverse (213144521), we get a palindrome (1467557641).

The spelling of 1254413120 in words is "one billion, two hundred fifty-four million, four hundred thirteen thousand, one hundred twenty".