1252762368 has 432 divisors, whose sum is σ = 4247415648. Its totient is φ = 324403200.

The previous prime is 1252762363. The next prime is 1252762369. The reversal of 1252762368 is 8632672521.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1252762361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20537058 + ... + 20537118.

Almost surely, 2^1252762368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1252762368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2123707824).

1252762368 is an abundant number, since it is smaller than the sum of its proper divisors (2994653280).

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

1252762368 is a wasteful number, since it uses less digits than its factorization.

1252762368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 107 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 1252762368 is about 35394.3832832273. The cubic root of 1252762368 is about 1078.0102733992.

The spelling of 1252762368 in words is "one billion, two hundred fifty-two million, seven hundred sixty-two thousand, three hundred sixty-eight".