245086416 has 120 divisors (see below), whose sum is σ = 740343240. Its totient is φ = 75399168.

The previous prime is 245086393. The next prime is 245086421. The reversal of 245086416 is 614680542.

245086416 is a `hidden beast` number, since 2 + 4 + 5 + 0 + 8 + 641 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 88736400 + 156350016 = 9420^2 + 12504^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 128800 + ... + 130688.

It is an arithmetic number, because the mean of its divisors is an integer number (6169527).

Almost surely, 2^245086416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 245086416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370171620).

245086416 is an abundant number, since it is smaller than the sum of its proper divisors (495256824).

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

245086416 is a wasteful number, since it uses less digits than its factorization.

245086416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1964 counting only the distinct ones).

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

The square root of 245086416 is about 15655.2360569875. The cubic root of 245086416 is about 625.8060350318.

The spelling of 245086416 in words is "two hundred forty-five million, eighty-six thousand, four hundred sixteen".