245862400 has 195 divisors, whose sum is σ = 711232721. Its totient is φ = 84295680.

The previous prime is 245862371. The next prime is 245862401. The reversal of 245862400 is 4268542.

The square root of 245862400 is 15680.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 88510464 + 157351936 = 9408^2 + 12544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (245862401) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35123197 + ... + 35123203.

Almost surely, 2^245862400 is an apocalyptic number.

245862400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

245862400 is the 15680-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245862400

245862400 is an abundant number, since it is smaller than the sum of its proper divisors (465370321).

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

245862400 is an frugal number, since it uses more digits than its factorization.

245862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The cubic root of 245862400 is about 626.4658075656.

The spelling of 245862400 in words is "two hundred forty-five million, eight hundred sixty-two thousand, four hundred".