466878384 has 160 divisors (see below), whose sum is σ = 1557281280. Its totient is φ = 131155200.

The previous prime is 466878359. The next prime is 466878397. The reversal of 466878384 is 483878664.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 466878384.

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, 183199 + ... + 185729.

It is an arithmetic number, because the mean of its divisors is an integer number (9733008).

Almost surely, 2^466878384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 466878384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778640640).

466878384 is an abundant number, since it is smaller than the sum of its proper divisors (1090402896).

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

466878384 is a wasteful number, since it uses less digits than its factorization.

466878384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2616 (or 2604 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The square root of 466878384 is about 21607.3687430932. The cubic root of 466878384 is about 775.7728725586.

The spelling of 466878384 in words is "four hundred sixty-six million, eight hundred seventy-eight thousand, three hundred eighty-four".