461611612 has 144 divisors (see below), whose sum is σ = 1093962240. Its totient is φ = 166320000.

The previous prime is 461611603. The next prime is 461611649. The reversal of 461611612 is 216116164.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4570362 + ... + 4570462.

It is an arithmetic number, because the mean of its divisors is an integer number (7596960).

Almost surely, 2^461611612 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 461611612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546981120).

461611612 is an abundant number, since it is smaller than the sum of its proper divisors (632350628).

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

461611612 is a wasteful number, since it uses less digits than its factorization.

461611612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 461611612 is about 21485.1486380709. The cubic root of 461611612 is about 772.8447155341.

Adding to 461611612 its reverse (216116164), we get a palindrome (677727776).

It can be divided in two parts, 4 and 61611612, that added together give a palindrome (61611616).

The spelling of 461611612 in words is "four hundred sixty-one million, six hundred eleven thousand, six hundred twelve".