245904 has 40 divisors (see below), whose sum is σ = 654720. Its totient is φ = 79488.

The previous prime is 245899. The next prime is 245909. The reversal of 245904 is 409542.

It is an interprime number because it is at equal distance from previous prime (245899) and next prime (245909).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (245909) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2202 + ... + 2310.

It is an arithmetic number, because the mean of its divisors is an integer number (16368).

2²⁴⁵⁹⁰⁴ is an apocalyptic number.

245904 is a gapful number since it is divisible by the number (24) 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 245904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327360).

245904 is an abundant number, since it is smaller than the sum of its proper divisors (408816).

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

245904 is a wasteful number, since it uses less digits than its factorization.

245904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 245904 is about 495.8870839213. The cubic root of 245904 is about 62.6501138314.

The spelling of 245904 in words is "two hundred forty-five thousand, nine hundred four".