462406464 has 168 divisors, whose sum is σ = 1466814440. Its totient is φ = 138350592.

The previous prime is 462406411. The next prime is 462406489. The reversal of 462406464 is 464604264.

It is a happy number.

462406464 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 0 + 646 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84492864 + 377913600 = 9192^2 + 19440^2 .

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 276222 + ... + 277890.

Almost surely, 2^462406464 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 462406464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733407220).

462406464 is an abundant number, since it is smaller than the sum of its proper divisors (1004407976).

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

462406464 is a wasteful number, since it uses less digits than its factorization.

462406464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 462406464 is about 21503.6383898167. The cubic root of 462406464 is about 773.2880499313.

The spelling of 462406464 in words is "four hundred sixty-two million, four hundred six thousand, four hundred sixty-four".