1252540800 has 768 divisors, whose sum is σ = 5565120000. Its totient is φ = 268738560.

The previous prime is 1252540763. The next prime is 1252540801. The reversal of 1252540800 is 80452521.

It is a happy number.

1252540800 is a `hidden beast` number, since 1 + 252 + 5 + 408 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1252540801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11491146 + ... + 11491254.

It is an arithmetic number, because the mean of its divisors is an integer number (7246250).

Almost surely, 2^1252540800 is an apocalyptic number.

1252540800 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 1252540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2782560000).

1252540800 is an abundant number, since it is smaller than the sum of its proper divisors (4312579200).

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

1252540800 is a wasteful number, since it uses less digits than its factorization.

1252540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 1252540800 is about 35391.2531566770. The cubic root of 1252540800 is about 1077.9467160774.

The spelling of 1252540800 in words is "one billion, two hundred fifty-two million, five hundred forty thousand, eight hundred".