1254432040 has 64 divisors (see below), whose sum is σ = 3039249600. Its totient is φ = 464237568.

The previous prime is 1254432031. The next prime is 1254432061. The reversal of 1254432040 is 402344521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1254431996 and 1254432014.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 24487 + ... + 55753.

It is an arithmetic number, because the mean of its divisors is an integer number (47488275).

Almost surely, 2^1254432040 is an apocalyptic number.

1254432040 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 1254432040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519624800).

1254432040 is an abundant number, since it is smaller than the sum of its proper divisors (1784817560).

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

1254432040 is a wasteful number, since it uses less digits than its factorization.

1254432040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31354 (or 31350 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 1254432040 is about 35417.9621096415. The cubic root of 1254432040 is about 1078.4889820422.

Adding to 1254432040 its reverse (402344521), we get a palindrome (1656776561).

The spelling of 1254432040 in words is "one billion, two hundred fifty-four million, four hundred thirty-two thousand, forty".