245813940 has 144 divisors (see below), whose sum is σ = 794731392. Its totient is φ = 63732096.

The previous prime is 245813933. The next prime is 245813993. The reversal of 245813940 is 49318542.

245813940 is a `hidden beast` number, since 2 + 4 + 581 + 39 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 245813895 and 245813904.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 179137 + ... + 180503.

It is an arithmetic number, because the mean of its divisors is an integer number (5518968).

Almost surely, 2^245813940 is an apocalyptic number.

245813940 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 245813940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397365696).

245813940 is an abundant number, since it is smaller than the sum of its proper divisors (548917452).

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

245813940 is a wasteful number, since it uses less digits than its factorization.

245813940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 245813940 is about 15678.4546432357. The cubic root of 245813940 is about 626.4246456151.

It can be divided in two parts, 245813 and 940, that added together give a triangular number (246753 = T₇₀₂).

The spelling of 245813940 in words is "two hundred forty-five million, eight hundred thirteen thousand, nine hundred forty".