245877120 has 448 divisors, whose sum is σ = 963239040. Its totient is φ = 59719680.

The previous prime is 245877113. The next prime is 245877133. The reversal of 245877120 is 21778542.

245877120 is a `hidden beast` number, since 2 + 4 + 587 + 71 + 2 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 7931505 + ... + 7931535.

Almost surely, 2^245877120 is an apocalyptic number.

245877120 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 245877120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481619520).

245877120 is an abundant number, since it is smaller than the sum of its proper divisors (717361920).

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

245877120 is an equidigital number, since it uses as much as digits as its factorization.

245877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 245877120 is about 15680.4693807296. The cubic root of 245877120 is about 626.4783096706.

The spelling of 245877120 in words is "two hundred forty-five million, eight hundred seventy-seven thousand, one hundred twenty".