245473200 has 480 divisors, whose sum is σ = 1062789120. Its totient is φ = 52531200.

The previous prime is 245473187. The next prime is 245473213. The reversal of 245473200 is 2374542.

245473200 is a `hidden beast` number, since 2 + 454 + 7 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (245473187) and next prime (245473213).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1285105 + ... + 1285295.

It is an arithmetic number, because the mean of its divisors is an integer number (2214144).

Almost surely, 2^245473200 is an apocalyptic number.

245473200 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 245473200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531394560).

245473200 is an abundant number, since it is smaller than the sum of its proper divisors (817315920).

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

245473200 is a wasteful number, since it uses less digits than its factorization.

245473200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 245473200 is about 15667.5843702850. The cubic root of 245473200 is about 626.1350680117.

The spelling of 245473200 in words is "two hundred forty-five million, four hundred seventy-three thousand, two hundred".