468058620 has 72 divisors (see below), whose sum is σ = 1392242544. Its totient is φ = 117469184.

The previous prime is 468058589. The next prime is 468058639. The reversal of 468058620 is 26850864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3844 + ... + 30836.

It is an arithmetic number, because the mean of its divisors is an integer number (19336702).

Almost surely, 2^468058620 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 468058620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696121272).

468058620 is an abundant number, since it is smaller than the sum of its proper divisors (924183924).

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

468058620 is a wasteful number, since it uses less digits than its factorization.

468058620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27039 (or 27020 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 468058620 is about 21634.6624655898. The cubic root of 468058620 is about 776.4260224044.

The spelling of 468058620 in words is "four hundred sixty-eight million, fifty-eight thousand, six hundred twenty".