1252949840 has 80 divisors (see below), whose sum is σ = 3047269248. Its totient is φ = 478207488.

The previous prime is 1252949837. The next prime is 1252949891. The reversal of 1252949840 is 489492521.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1252949791 and 1252949800.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256222 + ... + 1257218.

Almost surely, 2^1252949840 is an apocalyptic number.

1252949840 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 1252949840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1523634624).

1252949840 is an abundant number, since it is smaller than the sum of its proper divisors (1794319408).

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

1252949840 is a wasteful number, since it uses less digits than its factorization.

1252949840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1716 (or 1710 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 44.

The square root of 1252949840 is about 35397.0315139561. The cubic root of 1252949840 is about 1078.0640443476.

The spelling of 1252949840 in words is "one billion, two hundred fifty-two million, nine hundred forty-nine thousand, eight hundred forty".