468793080 has 192 divisors, whose sum is σ = 1833062400. Its totient is φ = 101502720.

The previous prime is 468793069. The next prime is 468793081. The reversal of 468793080 is 80397864.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468793081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42985 + ... + 52775.

It is an arithmetic number, because the mean of its divisors is an integer number (9547200).

Almost surely, 2^468793080 is an apocalyptic number.

468793080 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 468793080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (916531200).

468793080 is an abundant number, since it is smaller than the sum of its proper divisors (1364269320).

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

468793080 is a wasteful number, since it uses less digits than its factorization.

468793080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834 (or 9827 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 468793080 is about 21651.6299617373. The cubic root of 468793080 is about 776.8319230175.

The spelling of 468793080 in words is "four hundred sixty-eight million, seven hundred ninety-three thousand, eighty".