246449952 has 360 divisors, whose sum is σ = 898660224. Its totient is φ = 64862208.

The previous prime is 246449941. The next prime is 246449953. The reversal of 246449952 is 259944642.

246449952 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 246449898 and 246449907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (246449953) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 5243593 + ... + 5243639.

Almost surely, 2^246449952 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 246449952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449330112).

246449952 is an abundant number, since it is smaller than the sum of its proper divisors (652210272).

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

246449952 is a wasteful number, since it uses less digits than its factorization.

246449952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 76 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 246449952 is about 15698.7245341779. The cubic root of 246449952 is about 626.9644447685.

It can be divided in two parts, 24644 and 9952, that added together give a square (34596 = 186²).

The spelling of 246449952 in words is "two hundred forty-six million, four hundred forty-nine thousand, nine hundred fifty-two".