461014632 has 128 divisors (see below), whose sum is σ = 1451856000. Its totient is φ = 134369280.

The previous prime is 461014597. The next prime is 461014633. The reversal of 461014632 is 236410164.

461014632 is a `hidden beast` number, since 4 + 6 + 10 + 14 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 461014596 and 461014605.

It is not an unprimeable number, because it can be changed into a prime (461014633) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49032 + ... + 57672.

It is an arithmetic number, because the mean of its divisors is an integer number (11342625).

Almost surely, 2^461014632 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 461014632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725928000).

461014632 is an abundant number, since it is smaller than the sum of its proper divisors (990841368).

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

461014632 is a wasteful number, since it uses less digits than its factorization.

461014632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8688 (or 8678 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 461014632 is about 21471.2512909704. The cubic root of 461014632 is about 772.5114108975.

Adding to 461014632 its reverse (236410164), we get a palindrome (697424796).

The spelling of 461014632 in words is "four hundred sixty-one million, fourteen thousand, six hundred thirty-two".