245520 has 120 divisors (see below), whose sum is σ = 928512. Its totient is φ = 57600.

The previous prime is 245519. The next prime is 245521. The reversal of 245520 is 25542.

It is an interprime number because it is at equal distance from previous prime (245519) and next prime (245521).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 245493 and 245502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7905 + ... + 7935.

2²⁴⁵⁵²⁰ is an apocalyptic number.

245520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is a pronic number, being equal to 495×496.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464256).

245520 is an abundant number, since it is smaller than the sum of its proper divisors (682992).

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

245520 is a wasteful number, since it uses less digits than its factorization.

245520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 245520 is about 495.4997477295. The cubic root of 245520 is about 62.6174856821.

The spelling of 245520 in words is "two hundred forty-five thousand, five hundred twenty".