462756756 has 96 divisors (see below), whose sum is σ = 1357655040. Its totient is φ = 120167520.

The previous prime is 462756733. The next prime is 462756773. The reversal of 462756756 is 657657264.

It is a super-4 number, since 4×462756756⁴ (a number of 36 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109735 + ... + 113873.

It is an arithmetic number, because the mean of its divisors is an integer number (14142240).

Almost surely, 2^462756756 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 462756756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678827520).

462756756 is an abundant number, since it is smaller than the sum of its proper divisors (894898284).

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

462756756 is a wasteful number, since it uses less digits than its factorization.

462756756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4186 (or 4162 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 462756756 is about 21511.7817951001. The cubic root of 462756756 is about 773.4832665264.

The spelling of 462756756 in words is "four hundred sixty-two million, seven hundred fifty-six thousand, seven hundred fifty-six".