245072800 has 144 divisors (see below), whose sum is σ = 691830720. Its totient is φ = 83036160.

The previous prime is 245072791. The next prime is 245072809. The reversal of 245072800 is 8270542.

It is an interprime number because it is at equal distance from previous prime (245072791) and next prime (245072809).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (245072809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 598996 + ... + 599404.

It is an arithmetic number, because the mean of its divisors is an integer number (4804380).

Almost surely, 2^245072800 is an apocalyptic number.

245072800 is a gapful number since it is divisible by the number (20) 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 245072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345915360).

245072800 is an abundant number, since it is smaller than the sum of its proper divisors (446757920).

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

245072800 is a wasteful number, since it uses less digits than its factorization.

245072800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 245072800 is about 15654.8011804686. The cubic root of 245072800 is about 625.7944457417.

The spelling of 245072800 in words is "two hundred forty-five million, seventy-two thousand, eight hundred".