462736872 has 144 divisors (see below), whose sum is σ = 1437534540. Its totient is φ = 133945344.

The previous prime is 462736831. The next prime is 462736877. The reversal of 462736872 is 278637264.

It can be written as a sum of positive squares in 6 ways, for example, as 192265956 + 270470916 = 13866^2 + 16446^2 .

It is not an unprimeable number, because it can be changed into a prime (462736877) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 205738 + ... + 207974.

Almost surely, 2^462736872 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 462736872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718767270).

462736872 is an abundant number, since it is smaller than the sum of its proper divisors (974797668).

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

462736872 is a wasteful number, since it uses less digits than its factorization.

462736872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2272 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 462736872 is about 21511.3196247929. The cubic root of 462736872 is about 773.4721878755.

The spelling of 462736872 in words is "four hundred sixty-two million, seven hundred thirty-six thousand, eight hundred seventy-two".