1249741920 has 192 divisors, whose sum is σ = 4514711040. Its totient is φ = 284663808.

The previous prime is 1249741907. The next prime is 1249741931. The reversal of 1249741920 is 291479421.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1454451 + ... + 1455309.

It is an arithmetic number, because the mean of its divisors is an integer number (23514120).

Almost surely, 2^1249741920 is an apocalyptic number.

1249741920 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 1249741920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2257355520).

1249741920 is an abundant number, since it is smaller than the sum of its proper divisors (3264969120).

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

1249741920 is a wasteful number, since it uses less digits than its factorization.

1249741920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1317 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 1249741920 is about 35351.6890685580. The cubic root of 1249741920 is about 1077.1432043793.

The spelling of 1249741920 in words is "one billion, two hundred forty-nine million, seven hundred forty-one thousand, nine hundred twenty".