468611568 has 200 divisors, whose sum is σ = 1440384000. Its totient is φ = 146779776.

The previous prime is 468611567. The next prime is 468611569. The reversal of 468611568 is 865116864.

468611568 is a `hidden beast` number, since 4 + 6 + 86 + 1 + 1 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (468611567) and next prime (468611569).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468611567) 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, 2354733 + ... + 2354931.

It is an arithmetic number, because the mean of its divisors is an integer number (7201920).

Almost surely, 2^468611568 is an apocalyptic number.

468611568 is a gapful number since it is divisible by the number (48) 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 468611568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720192000).

468611568 is an abundant number, since it is smaller than the sum of its proper divisors (971772432).

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

468611568 is a wasteful number, since it uses less digits than its factorization.

468611568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 306 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 468611568 is about 21647.4379084454. The cubic root of 468611568 is about 776.7316495533.

The spelling of 468611568 in words is "four hundred sixty-eight million, six hundred eleven thousand, five hundred sixty-eight".