1245004800 has 528 divisors, whose sum is σ = 4690741440. Its totient is φ = 289013760.

The previous prime is 1245004799. The next prime is 1245004837. The reversal of 1245004800 is 84005421.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28953579 + ... + 28953621.

It is an arithmetic number, because the mean of its divisors is an integer number (8883980).

Almost surely, 2^1245004800 is an apocalyptic number.

1245004800 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 1245004800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2345370720).

1245004800 is an abundant number, since it is smaller than the sum of its proper divisors (3445736640).

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

1245004800 is a wasteful number, since it uses less digits than its factorization.

1245004800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1245004800 is about 35284.6255471133. The cubic root of 1245004800 is about 1075.7805184281.

The spelling of 1245004800 in words is "one billion, two hundred forty-five million, four thousand, eight hundred".