466562016 has 72 divisors (see below), whose sum is σ = 1345531824. Its totient is φ = 153323520.

The previous prime is 466561999. The next prime is 466562023. The reversal of 466562016 is 610265664.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×466562016² = 435360229547968512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9040 + ... + 31856.

It is an arithmetic number, because the mean of its divisors is an integer number (18687942).

Almost surely, 2^466562016 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 466562016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672765912).

466562016 is an abundant number, since it is smaller than the sum of its proper divisors (878969808).

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

466562016 is a wasteful number, since it uses less digits than its factorization.

466562016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22904 (or 22893 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 466562016 is about 21600.0466666163. The cubic root of 466562016 is about 775.5976055242.

The spelling of 466562016 in words is "four hundred sixty-six million, five hundred sixty-two thousand, sixteen".