468058624 has 80 divisors (see below), whose sum is σ = 1045620576. Its totient is φ = 207462400.

The previous prime is 468058589. The next prime is 468058639. The reversal of 468058624 is 426850864.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229899 + ... + 231925.

Almost surely, 2^468058624 is an apocalyptic number.

468058624 is a gapful number since it is divisible by the number (44) 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 468058624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522810288).

468058624 is an abundant number, since it is smaller than the sum of its proper divisors (577561952).

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

468058624 is a wasteful number, since it uses less digits than its factorization.

468058624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 468058624 is about 21634.6625580340. The cubic root of 468058624 is about 776.4260246161.

The spelling of 468058624 in words is "four hundred sixty-eight million, fifty-eight thousand, six hundred twenty-four".