245584080 has 180 divisors, whose sum is σ = 959544612. Its totient is φ = 56125440.

The previous prime is 245584069. The next prime is 245584111. The reversal of 245584080 is 80485542.

245584080 is a `hidden beast` number, since 24 + 558 + 4 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 142277184 + 103306896 = 11928^2 + 10164^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 31800 + ... + 38760.

Almost surely, 2^245584080 is an apocalyptic number.

245584080 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 245584080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479772306).

245584080 is an abundant number, since it is smaller than the sum of its proper divisors (713960532).

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

245584080 is a wasteful number, since it uses less digits than its factorization.

245584080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6994 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 245584080 is about 15671.1224869184. The cubic root of 245584080 is about 626.2293286829.

The spelling of 245584080 in words is "two hundred forty-five million, five hundred eighty-four thousand, eighty".