468238680 has 192 divisors, whose sum is σ = 1873085760. Its totient is φ = 98786304.

The previous prime is 468238657. The next prime is 468238699. The reversal of 468238680 is 86832864.

It is a happy number.

It is a super-2 number, since 2×468238680² = 438494922896284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25614 + ... + 39906.

It is an arithmetic number, because the mean of its divisors is an integer number (9755655).

Almost surely, 2^468238680 is an apocalyptic number.

468238680 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 468238680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936542880).

468238680 is an abundant number, since it is smaller than the sum of its proper divisors (1404847080).

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

468238680 is a wasteful number, since it uses less digits than its factorization.

468238680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14330 (or 14323 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 468238680 is about 21638.8234430618. The cubic root of 468238680 is about 776.5255721475.

The spelling of 468238680 in words is "four hundred sixty-eight million, two hundred thirty-eight thousand, six hundred eighty".