245958624 has 72 divisors (see below), whose sum is σ = 715747032. Its totient is φ = 80075520.

The previous prime is 245958623. The next prime is 245958673. The reversal of 245958624 is 426859542.

245958624 is a `hidden beast` number, since 2 + 45 + 9 + 586 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 245958624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245958623) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 2454 + ... + 22314.

It is an arithmetic number, because the mean of its divisors is an integer number (9940931).

Almost surely, 2^245958624 is an apocalyptic number.

245958624 is a gapful number since it is divisible by the number (24) 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 245958624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357873516).

245958624 is an abundant number, since it is smaller than the sum of its proper divisors (469788408).

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

245958624 is a wasteful number, since it uses less digits than its factorization.

245958624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19920 (or 19909 counting only the distinct ones).

The product of its digits is 691200, while the sum is 45.

The square root of 245958624 is about 15683.0680671863. The cubic root of 245958624 is about 626.5475242541.

The spelling of 245958624 in words is "two hundred forty-five million, nine hundred fifty-eight thousand, six hundred twenty-four".