466379424 has 192 divisors, whose sum is σ = 1582156800. Its totient is φ = 130892544.

The previous prime is 466379401. The next prime is 466379461. The reversal of 466379424 is 424973664.

It is a happy number.

466379424 is a `hidden beast` number, since 4 + 6 + 637 + 9 + 4 + 2 + 4 = 666.

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 466379424.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 356179 + ... + 357485.

It is an arithmetic number, because the mean of its divisors is an integer number (8240400).

Almost surely, 2^466379424 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 466379424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791078400).

466379424 is an abundant number, since it is smaller than the sum of its proper divisors (1115777376).

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

466379424 is a wasteful number, since it uses less digits than its factorization.

466379424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1378 counting only the distinct ones).

The product of its digits is 870912, while the sum is 45.

The square root of 466379424 is about 21595.8195954680. The cubic root of 466379424 is about 775.4964139773.

The spelling of 466379424 in words is "four hundred sixty-six million, three hundred seventy-nine thousand, four hundred twenty-four".