1245868800 has 432 divisors, whose sum is σ = 4762945152. Its totient is φ = 283443200.

The previous prime is 1245868781. The next prime is 1245868849. The reversal of 1245868800 is 88685421.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3590227 + ... + 3590573.

It is an arithmetic number, because the mean of its divisors is an integer number (11025336).

Almost surely, 2^1245868800 is an apocalyptic number.

1245868800 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 1245868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2381472576).

1245868800 is an abundant number, since it is smaller than the sum of its proper divisors (3517076352).

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

1245868800 is a wasteful number, since it uses less digits than its factorization.

1245868800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 42.

The square root of 1245868800 is about 35296.8667164665. The cubic root of 1245868800 is about 1076.0293151772.

It can be divided in two parts, 124586 and 8800, that added together give a triangular number (133386 = T₅₁₆).

The spelling of 1245868800 in words is "one billion, two hundred forty-five million, eight hundred sixty-eight thousand, eight hundred".