461305032 has 32 divisors (see below), whose sum is σ = 1180085280. Its totient is φ = 150192000.

The previous prime is 461305027. The next prime is 461305037. The reversal of 461305032 is 230503164.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (461305027) and next prime (461305037).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 461304993 and 461305011.

It is not an unprimeable number, because it can be changed into a prime (461305037) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222469 + ... + 224532.

It is an arithmetic number, because the mean of its divisors is an integer number (36877665).

Almost surely, 2^461305032 is an apocalyptic number.

It is an amenable number.

461305032 is an abundant number, since it is smaller than the sum of its proper divisors (718780248).

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

461305032 is a wasteful number, since it uses less digits than its factorization.

461305032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447053 (or 447049 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 461305032 is about 21478.0127572362. The cubic root of 461305032 is about 772.6735823415.

Adding to 461305032 its reverse (230503164), we get a palindrome (691808196).

The spelling of 461305032 in words is "four hundred sixty-one million, three hundred five thousand, thirty-two".