468668592 has 200 divisors, whose sum is σ = 1632435200. Its totient is φ = 126811008.

The previous prime is 468668587. The next prime is 468668593. The reversal of 468668592 is 295866864.

It is a happy number.

468668592 is a `hidden beast` number, since 46 + 8 + 6 + 6 + 8 + 592 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (468668593) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 171009 + ... + 173727.

It is an arithmetic number, because the mean of its divisors is an integer number (8162176).

Almost surely, 2^468668592 is an apocalyptic number.

468668592 is a gapful number since it is divisible by the number (42) 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 468668592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816217600).

468668592 is an abundant number, since it is smaller than the sum of its proper divisors (1163766608).

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

468668592 is a wasteful number, since it uses less digits than its factorization.

468668592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2765 (or 2750 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The square root of 468668592 is about 21648.7549757486. The cubic root of 468668592 is about 776.7631543589.

The spelling of 468668592 in words is "four hundred sixty-eight million, six hundred sixty-eight thousand, five hundred ninety-two".