245557800 has 72 divisors (see below), whose sum is σ = 824670990. Its totient is φ = 65481600.

The previous prime is 245557787. The next prime is 245557801. The reversal of 245557800 is 8755542.

It is a happy number.

245557800 is a `hidden beast` number, since 24 + 5 + 557 + 80 + 0 = 666.

245557800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 115734564 + 129823236 = 10758^2 + 11394^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (245557801) 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 17 ways as a sum of consecutive naturals, for example, 66411 + ... + 70010.

Almost surely, 2^245557800 is an apocalyptic number.

245557800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245557800 is an abundant number, since it is smaller than the sum of its proper divisors (579113190).

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

245557800 is a wasteful number, since it uses less digits than its factorization.

245557800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136443 (or 136431 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 245557800 is about 15670.2839795583. The cubic root of 245557800 is about 626.2069902455.

The spelling of 245557800 in words is "two hundred forty-five million, five hundred fifty-seven thousand, eight hundred".