466878720 has 288 divisors, whose sum is σ = 1860203520. Its totient is φ = 96952320.

The previous prime is 466878647. The next prime is 466878739. The reversal of 466878720 is 27878664.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 466878720.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294891 + ... + 296469.

It is an arithmetic number, because the mean of its divisors is an integer number (6459040).

Almost surely, 2^466878720 is an apocalyptic number.

466878720 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 466878720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (930101760).

466878720 is an abundant number, since it is smaller than the sum of its proper divisors (1393324800).

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

466878720 is a wasteful number, since it uses less digits than its factorization.

466878720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621 (or 1607 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The square root of 466878720 is about 21607.3765182171. The cubic root of 466878720 is about 775.7730586596.

The spelling of 466878720 in words is "four hundred sixty-six million, eight hundred seventy-eight thousand, seven hundred twenty".