462774816 has 288 divisors, whose sum is σ = 1665074880. Its totient is φ = 124250112.

The previous prime is 462774797. The next prime is 462774817. The reversal of 462774816 is 618477264.

462774816 is a `hidden beast` number, since 4 + 627 + 7 + 4 + 8 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

Its product of digits (451584) is a multiple of the sum of its prime divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462774817) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 719391 + ... + 720033.

It is an arithmetic number, because the mean of its divisors is an integer number (5781510).

Almost surely, 2^462774816 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 462774816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832537440).

462774816 is an abundant number, since it is smaller than the sum of its proper divisors (1202300064).

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

462774816 is a wasteful number, since it uses less digits than its factorization.

462774816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 672 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 462774816 is about 21512.2015609746. The cubic root of 462774816 is about 773.4933286349.

The spelling of 462774816 in words is "four hundred sixty-two million, seven hundred seventy-four thousand, eight hundred sixteen".