468650392920 has 288 divisors, whose sum is σ = 1650401831520. Its totient is φ = 119538270720.

The previous prime is 468650392913. The next prime is 468650392961. The reversal of 468650392920 is 29293056864.

It is a happy number.

468650392920 is a `hidden beast` number, since 46 + 8 + 6 + 503 + 9 + 2 + 92 + 0 = 666.

It is a super-2 number, since 2×468650392920² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5997300 + ... + 6074940.

It is an arithmetic number, because the mean of its divisors is an integer number (5730561915).

Almost surely, 2^468650392920 is an apocalyptic number.

468650392920 is a gapful number since it is divisible by the number (40) 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 468650392920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825200915760).

468650392920 is an abundant number, since it is smaller than the sum of its proper divisors (1181751438600).

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

468650392920 is an equidigital number, since it uses as much as digits as its factorization.

468650392920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77699 (or 77674 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 468650392920 in words is "four hundred sixty-eight billion, six hundred fifty million, three hundred ninety-two thousand, nine hundred twenty".