245807120 has 60 divisors (see below), whose sum is σ = 618878916. Its totient is φ = 90754560.

The previous prime is 245807119. The next prime is 245807129. The reversal of 245807120 is 21708542.

It can be written as a sum of positive squares in 6 ways, for example, as 7907344 + 237899776 = 2812^2 + 15424^2 .

It is a super-2 number, since 2×245807120² = 120842280485388800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (245807129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4430 + ... + 22610.

Almost surely, 2^245807120 is an apocalyptic number.

245807120 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 245807120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309439458).

245807120 is an abundant number, since it is smaller than the sum of its proper divisors (373071796).

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

245807120 is a wasteful number, since it uses less digits than its factorization.

245807120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18220 (or 18201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 245807120 is about 15678.2371458018. The cubic root of 245807120 is about 626.4188522691.

The spelling of 245807120 in words is "two hundred forty-five million, eight hundred seven thousand, one hundred twenty".