245861616 has 480 divisors, whose sum is σ = 940439808. Its totient is φ = 54190080.

The previous prime is 245861593. The next prime is 245861617. The reversal of 245861616 is 616168542.

It is a happy number.

245861616 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 (39).

Its product of digits (69120) is a multiple of the sum of its prime divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245861617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5717691 + ... + 5717733.

Almost surely, 2^245861616 is an apocalyptic number.

245861616 is a gapful number since it is divisible by the number (26) 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 245861616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470219904).

245861616 is an abundant number, since it is smaller than the sum of its proper divisors (694578192).

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

245861616 is a wasteful number, since it uses less digits than its factorization.

245861616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 96 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 245861616 is about 15679.9749999801. The cubic root of 245861616 is about 626.4651416786.

The spelling of 245861616 in words is "two hundred forty-five million, eight hundred sixty-one thousand, six hundred sixteen".