1225524800 has 42 divisors (see below), whose sum is σ = 3015560898. Its totient is φ = 490209280.

The previous prime is 1225524761. The next prime is 1225524877. The reversal of 1225524800 is 84255221.

It can be written as a sum of positive squares in 3 ways, for example, as 6677056 + 1218847744 = 2584^2 + 34912^2 .

It is a super-2 number, since 2×1225524800² = 3003822070830080000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 381377 + ... + 384576.

It is an arithmetic number, because the mean of its divisors is an integer number (71799069).

Almost surely, 2^1225524800 is an apocalyptic number.

1225524800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1225524800 is an abundant number, since it is smaller than the sum of its proper divisors (1790036098).

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

1225524800 is an equidigital number, since it uses as much as digits as its factorization.

1225524800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765975 (or 765960 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 1225524800 is about 35007.4963400698. The cubic root of 1225524800 is about 1070.1402558742.

The spelling of 1225524800 in words is "one billion, two hundred twenty-five million, five hundred twenty-four thousand, eight hundred".