1254884032 has 56 divisors (see below), whose sum is σ = 2654604800. Its totient is φ = 586849536.

The previous prime is 1254884023. The next prime is 1254884063. The reversal of 1254884032 is 2304884521.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1254883982 and 1254884000.

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, 89533 + ... + 102595.

Almost surely, 2^1254884032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1254884032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1327302400).

1254884032 is an abundant number, since it is smaller than the sum of its proper divisors (1399720768).

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

1254884032 is a wasteful number, since it uses less digits than its factorization.

1254884032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13173 (or 13163 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

The square root of 1254884032 is about 35424.3423651026. The cubic root of 1254884032 is about 1078.6184987851.

It can be divided in two parts, 12548 and 84032, that added together give a triangular number (96580 = T₄₃₉).

The spelling of 1254884032 in words is "one billion, two hundred fifty-four million, eight hundred eighty-four thousand, thirty-two".