1252742400 has 648 divisors, whose sum is σ = 5535479040. Its totient is φ = 263208960.

The previous prime is 1252742399. The next prime is 1252742443. The reversal of 1252742400 is 42472521.

1252742400 is a `hidden beast` number, since 1 + 252 + 7 + 4 + 2 + 400 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5241481 + ... + 5241719.

Almost surely, 2^1252742400 is an apocalyptic number.

1252742400 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 1252742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767739520).

1252742400 is an abundant number, since it is smaller than the sum of its proper divisors (4282736640).

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

1252742400 is a wasteful number, since it uses less digits than its factorization.

1252742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 1252742400 is about 35394.1012034491. The cubic root of 1252742400 is about 1078.0045458370.

The spelling of 1252742400 in words is "one billion, two hundred fifty-two million, seven hundred forty-two thousand, four hundred".