245595840 has 336 divisors, whose sum is σ = 950683392. Its totient is φ = 53458944.

The previous prime is 245595829. The next prime is 245595841. The reversal of 245595840 is 48595542.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 245595792 and 245595801.

It is not an unprimeable number, because it can be changed into a prime (245595841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1081807 + ... + 1082033.

Almost surely, 2^245595840 is an apocalyptic number.

245595840 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 245595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475341696).

245595840 is an abundant number, since it is smaller than the sum of its proper divisors (705087552).

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

245595840 is a wasteful number, since it uses less digits than its factorization.

245595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 42.

The square root of 245595840 is about 15671.4976948599. The cubic root of 245595840 is about 626.2393243625.

The spelling of 245595840 in words is "two hundred forty-five million, five hundred ninety-five thousand, eight hundred forty".