1249078320 has 480 divisors, whose sum is σ = 5082674688. Its totient is φ = 279189504.

The previous prime is 1249078309. The next prime is 1249078331. The reversal of 1249078320 is 238709421.

It is an interprime number because it is at equal distance from previous prime (1249078309) and next prime (1249078331).

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 95 ways as a sum of consecutive naturals, for example, 9117292 + ... + 9117428.

Almost surely, 2^1249078320 is an apocalyptic number.

1249078320 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 1249078320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2541337344).

1249078320 is an abundant number, since it is smaller than the sum of its proper divisors (3833596368).

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

1249078320 is a wasteful number, since it uses less digits than its factorization.

1249078320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1249078320 is about 35342.3021321475. The cubic root of 1249078320 is about 1076.9525200009.

The spelling of 1249078320 in words is "one billion, two hundred forty-nine million, seventy-eight thousand, three hundred twenty".