466406784 has 96 divisors (see below), whose sum is σ = 1367636400. Its totient is φ = 152515584.

The previous prime is 466406761. The next prime is 466406807. The reversal of 466406784 is 487604664.

It is an interprime number because it is at equal distance from previous prime (466406761) and next prime (466406807).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×466406784² = 435070576322445312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57237 + ... + 64875.

Almost surely, 2^466406784 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 466406784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (683818200).

466406784 is an abundant number, since it is smaller than the sum of its proper divisors (901229616).

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

466406784 is a wasteful number, since it uses less digits than its factorization.

466406784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7712 (or 7697 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 466406784 is about 21596.4530421086. The cubic root of 466406784 is about 775.5115784306.

The spelling of 466406784 in words is "four hundred sixty-six million, four hundred six thousand, seven hundred eighty-four".