245616840 has 256 divisors, whose sum is σ = 954892800. Its totient is φ = 54991872.

The previous prime is 245616827. The next prime is 245616851. The reversal of 245616840 is 48616542.

245616840 is a `hidden beast` number, since 2 + 456 + 168 + 40 = 666.

245616840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 245616795 and 245616804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 400374 + ... + 400986.

It is an arithmetic number, because the mean of its divisors is an integer number (3730050).

Almost surely, 2^245616840 is an apocalyptic number.

245616840 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 245616840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477446400).

245616840 is an abundant number, since it is smaller than the sum of its proper divisors (709275960).

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

245616840 is a wasteful number, since it uses less digits than its factorization.

245616840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 693 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 245616840 is about 15672.1676866986. The cubic root of 245616840 is about 626.2571729968.

The spelling of 245616840 in words is "two hundred forty-five million, six hundred sixteen thousand, eight hundred forty".