245828400 has 60 divisors (see below), whose sum is σ = 787474152. Its totient is φ = 65553920.

The previous prime is 245828399. The next prime is 245828411. The reversal of 245828400 is 4828542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 101229 + ... + 103628.

Almost surely, 2^245828400 is an apocalyptic number.

245828400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245828400 is an abundant number, since it is smaller than the sum of its proper divisors (541645752).

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

245828400 is a wasteful number, since it uses less digits than its factorization.

245828400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204878 (or 204867 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 33.

The square root of 245828400 is about 15678.9157788413. The cubic root of 245828400 is about 626.4369285132.

The spelling of 245828400 in words is "two hundred forty-five million, eight hundred twenty-eight thousand, four hundred".