462486752 has 144 divisors (see below), whose sum is σ = 1187948160. Its totient is φ = 173062656.

The previous prime is 462486743. The next prime is 462486767. The reversal of 462486752 is 257684264.

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, 718943 + ... + 719585.

It is an arithmetic number, because the mean of its divisors is an integer number (8249640).

Almost surely, 2^462486752 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 462486752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593974080).

462486752 is an abundant number, since it is smaller than the sum of its proper divisors (725461408).

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

462486752 is a wasteful number, since it uses less digits than its factorization.

462486752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 684 counting only the distinct ones).

The product of its digits is 645120, while the sum is 44.

The square root of 462486752 is about 21505.5051556572. The cubic root of 462486752 is about 773.3328028798.

The spelling of 462486752 in words is "four hundred sixty-two million, four hundred eighty-six thousand, seven hundred fifty-two".