468455076 has 120 divisors (see below), whose sum is σ = 1313188800. Its totient is φ = 145240128.

The previous prime is 468455059. The next prime is 468455087. The reversal of 468455076 is 670554864.

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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 274875 + ... + 276573.

It is an arithmetic number, because the mean of its divisors is an integer number (10943240).

Almost surely, 2^468455076 is an apocalyptic number.

468455076 is a gapful number since it is divisible by the number (46) 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 468455076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656594400).

468455076 is an abundant number, since it is smaller than the sum of its proper divisors (844733724).

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

468455076 is a wasteful number, since it uses less digits than its factorization.

468455076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 468455076 is about 21643.8230449244. The cubic root of 468455076 is about 776.6451772090.

The spelling of 468455076 in words is "four hundred sixty-eight million, four hundred fifty-five thousand, seventy-six".