1249957632 has 288 divisors, whose sum is σ = 4332625920. Its totient is φ = 310210560.

The previous prime is 1249957613. The next prime is 1249957637. The reversal of 1249957632 is 2367599421.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1249957637) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1359669 + ... + 1360587.

It is an arithmetic number, because the mean of its divisors is an integer number (15043840).

Almost surely, 2^1249957632 is an apocalyptic number.

1249957632 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 1249957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2166312960).

1249957632 is an abundant number, since it is smaller than the sum of its proper divisors (3082668288).

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

1249957632 is a wasteful number, since it uses less digits than its factorization.

1249957632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979 (or 965 counting only the distinct ones).

The product of its digits is 816480, while the sum is 48.

The square root of 1249957632 is about 35354.7398802480. The cubic root of 1249957632 is about 1077.2051743332.

The spelling of 1249957632 in words is "one billion, two hundred forty-nine million, nine hundred fifty-seven thousand, six hundred thirty-two".