462651696 has 120 divisors (see below), whose sum is σ = 1438218960. Its totient is φ = 142331904.

The previous prime is 462651661. The next prime is 462651697. The reversal of 462651696 is 696156264.

462651696 is a `hidden beast` number, since 4 + 626 + 5 + 16 + 9 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (462651697) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69840 + ... + 76176.

It is an arithmetic number, because the mean of its divisors is an integer number (11985158).

Almost surely, 2^462651696 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 462651696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719109480).

462651696 is an abundant number, since it is smaller than the sum of its proper divisors (975567264).

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

462651696 is a wasteful number, since it uses less digits than its factorization.

462651696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6380 (or 6355 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 462651696 is about 21509.3397388204. The cubic root of 462651696 is about 773.4247272748.

It can be divided in two parts, 46265 and 1696, that added together give a square (47961 = 219²).

The spelling of 462651696 in words is "four hundred sixty-two million, six hundred fifty-one thousand, six hundred ninety-six".