1249358880 has 432 divisors, whose sum is σ = 5043487680. Its totient is φ = 259015680.

The previous prime is 1249358863. The next prime is 1249358899. The reversal of 1249358880 is 888539421.

It is a super-2 number, since 2×1249358880² = 3121795222069708800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2845701 + ... + 2846139.

It is an arithmetic number, because the mean of its divisors is an integer number (11674740).

Almost surely, 2^1249358880 is an apocalyptic number.

1249358880 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 1249358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2521743840).

1249358880 is an abundant number, since it is smaller than the sum of its proper divisors (3794128800).

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

1249358880 is a wasteful number, since it uses less digits than its factorization.

1249358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 48.

The square root of 1249358880 is about 35346.2710904559. The cubic root of 1249358880 is about 1077.0331466984.

The spelling of 1249358880 in words is "one billion, two hundred forty-nine million, three hundred fifty-eight thousand, eight hundred eighty".