1249888752 has 320 divisors, whose sum is σ = 4317184000. Its totient is φ = 338722560.

The previous prime is 1249888751. The next prime is 1249888763. The reversal of 1249888752 is 2578889421.

1249888752 is a `hidden beast` number, since 1 + 2 + 498 + 88 + 75 + 2 = 666.

It is a super-2 number, since 2×1249888752² = 3124443784752235008, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249888751) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6280749 + ... + 6280947.

It is an arithmetic number, because the mean of its divisors is an integer number (13491200).

Almost surely, 2^1249888752 is an apocalyptic number.

1249888752 is a gapful number since it is divisible by the number (12) 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 1249888752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2158592000).

1249888752 is an abundant number, since it is smaller than the sum of its proper divisors (3067295248).

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

1249888752 is a wasteful number, since it uses less digits than its factorization.

1249888752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 309 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

The square root of 1249888752 is about 35353.7657400170. The cubic root of 1249888752 is about 1077.1853871945.

The spelling of 1249888752 in words is "one billion, two hundred forty-nine million, eight hundred eighty-eight thousand, seven hundred fifty-two".