245777672 has 48 divisors (see below), whose sum is σ = 544322880. Its totient is φ = 101913120.

The previous prime is 245777663. The next prime is 245777681. The reversal of 245777672 is 276777542.

245777672 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245777663) and next prime (245777681).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51533 + ... + 56099.

It is an arithmetic number, because the mean of its divisors is an integer number (11340060).

Almost surely, 2^245777672 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 245777672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272161440).

245777672 is an abundant number, since it is smaller than the sum of its proper divisors (298545208).

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

245777672 is a wasteful number, since it uses less digits than its factorization.

245777672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4642 (or 4607 counting only the distinct ones).

The product of its digits is 1152480, while the sum is 47.

The square root of 245777672 is about 15677.2979814763. The cubic root of 245777672 is about 626.3938360164.

The spelling of 245777672 in words is "two hundred forty-five million, seven hundred seventy-seven thousand, six hundred seventy-two".