1452250800 has 1080 divisors, whose sum is σ = 7023264768. Its totient is φ = 269568000.

The previous prime is 1452250799. The next prime is 1452250841. The reversal of 1452250800 is 80522541.

It is a happy number.

1452250800 is a `hidden beast` number, since 14 + 522 + 50 + 80 + 0 = 666.

It is a super-2 number, since 2×1452250800² = 4218064772201280000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 46846785 + ... + 46846815.

Almost surely, 2^1452250800 is an apocalyptic number.

1452250800 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 1452250800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3511632384).

1452250800 is an abundant number, since it is smaller than the sum of its proper divisors (5571013968).

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

1452250800 is a wasteful number, since it uses less digits than its factorization.

1452250800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 72 counting only the distinct ones).

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

The square root of 1452250800 is about 38108.4085209551. The cubic root of 1452250800 is about 1132.4365416250.

It can be divided in two parts, 1452 and 250800, that added together give a palindrome (252252).

The spelling of 1452250800 in words is "one billion, four hundred fifty-two million, two hundred fifty thousand, eight hundred".