245575200 has 288 divisors, whose sum is σ = 913441536. Its totient is φ = 56770560.

The previous prime is 245575111. The next prime is 245575223. The reversal of 245575200 is 2575542.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 530169 + ... + 530631.

It is an arithmetic number, because the mean of its divisors is an integer number (3171672).

Almost surely, 2^245575200 is an apocalyptic number.

245575200 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 245575200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456720768).

245575200 is an abundant number, since it is smaller than the sum of its proper divisors (667866336).

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

245575200 is a wasteful number, since it uses less digits than its factorization.

245575200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 245575200 is about 15670.8391606831. The cubic root of 245575200 is about 626.2217807134.

The spelling of 245575200 in words is "two hundred forty-five million, five hundred seventy-five thousand, two hundred".