461689632 has 120 divisors (see below), whose sum is σ = 1381287600. Its totient is φ = 151238016.

The previous prime is 461689619. The next prime is 461689633. The reversal of 461689632 is 236986164.

461689632 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 8 + 9 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (461689633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 151419 + ... + 154437.

It is an arithmetic number, because the mean of its divisors is an integer number (11510730).

Almost surely, 2^461689632 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 461689632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690643800).

461689632 is an abundant number, since it is smaller than the sum of its proper divisors (919597968).

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

461689632 is a wasteful number, since it uses less digits than its factorization.

461689632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3100 (or 3083 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 461689632 is about 21486.9642341583. The cubic root of 461689632 is about 772.8882542626. Note that the first 3 decimals are identical.

The spelling of 461689632 in words is "four hundred sixty-one million, six hundred eighty-nine thousand, six hundred thirty-two".