461243772 has 108 divisors (see below), whose sum is σ = 1349242440. Its totient is φ = 132390720.

The previous prime is 461243743. The next prime is 461243773. The reversal of 461243772 is 277342164.

461243772 is a `hidden beast` number, since 4 + 612 + 4 + 37 + 7 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461243773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 79978 + ... + 85550.

Almost surely, 2^461243772 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 461243772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674621220).

461243772 is an abundant number, since it is smaller than the sum of its proper divisors (887998668).

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

461243772 is a wasteful number, since it uses less digits than its factorization.

461243772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5624 (or 5608 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 461243772 is about 21476.5866002957. The cubic root of 461243772 is about 772.6393778739.

It can be divided in two parts, 4612 and 43772, that added together give a palindrome (48384).

The spelling of 461243772 in words is "four hundred sixty-one million, two hundred forty-three thousand, seven hundred seventy-two".