1254440880 has 600 divisors, whose sum is σ = 5607632160. Its totient is φ = 245329920.

The previous prime is 1254440867. The next prime is 1254440899. The reversal of 1254440880 is 880444521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 73790632 + ... + 73790648.

Almost surely, 2^1254440880 is an apocalyptic number.

1254440880 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 1254440880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803816080).

1254440880 is an abundant number, since it is smaller than the sum of its proper divisors (4353191280).

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

1254440880 is a wasteful number, since it uses less digits than its factorization.

1254440880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 1254440880 is about 35418.0869048570. The cubic root of 1254440880 is about 1078.4915154119.

It can be divided in two parts, 1254440 and 880, that added together give a triangular number (1255320 = T₁₅₈₄).

The spelling of 1254440880 in words is "one billion, two hundred fifty-four million, four hundred forty thousand, eight hundred eighty".