468058824 has 112 divisors (see below), whose sum is σ = 1393509420. Its totient is φ = 146810880.

The previous prime is 468058823. The next prime is 468058837. The reversal of 468058824 is 428850864.

468058824 is a `hidden beast` number, since 4 + 68 + 0 + 588 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 454968900 + 13089924 = 21330^2 + 3618^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 468058824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468058823) 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 27 ways as a sum of consecutive naturals, for example, 96784 + ... + 101504.

Almost surely, 2^468058824 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 468058824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696754710).

468058824 is an abundant number, since it is smaller than the sum of its proper divisors (925450596).

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

468058824 is a wasteful number, since it uses less digits than its factorization.

468058824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4762 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 491520, while the sum is 45.

The square root of 468058824 is about 21634.6671802457. The cubic root of 468058824 is about 776.4261352043.

It can be divided in two parts, 4680 and 58824, that added together give a square (63504 = 252²).

The spelling of 468058824 in words is "four hundred sixty-eight million, fifty-eight thousand, eight hundred twenty-four".