1252692000 has 384 divisors, whose sum is σ = 5214343680. Its totient is φ = 286156800.

The previous prime is 1252691977. The next prime is 1252692011. The reversal of 1252692000 is 2962521.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 755172 + ... + 756828.

It is an arithmetic number, because the mean of its divisors is an integer number (13579020).

Almost surely, 2^1252692000 is an apocalyptic number.

1252692000 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 1252692000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2607171840).

1252692000 is an abundant number, since it is smaller than the sum of its proper divisors (3961651680).

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

1252692000 is a wasteful number, since it uses less digits than its factorization.

1252692000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1674 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1252692000 is about 35393.3892132415. The cubic root of 1252692000 is about 1077.9900889787.

The spelling of 1252692000 in words is "one billion, two hundred fifty-two million, six hundred ninety-two thousand".