1249154880 has 112 divisors (see below), whose sum is σ = 4041062784. Its totient is φ = 326809600.

The previous prime is 1249154857. The next prime is 1249154887. The reversal of 1249154880 is 884519421.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249154887) by changing a digit.

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, 38605 + ... + 63155.

Almost surely, 2^1249154880 is an apocalyptic number.

1249154880 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 1249154880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2020531392).

1249154880 is an abundant number, since it is smaller than the sum of its proper divisors (2791907904).

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

1249154880 is a wasteful number, since it uses less digits than its factorization.

1249154880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24624 (or 24614 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 42.

The square root of 1249154880 is about 35343.3852368445. The cubic root of 1249154880 is about 1076.9745228380.

It can be divided in two parts, 124915 and 4880, that added together give a triangular number (129795 = T₅₀₉).

The spelling of 1249154880 in words is "one billion, two hundred forty-nine million, one hundred fifty-four thousand, eight hundred eighty".