461133120 has 168 divisors, whose sum is σ = 1703307744. Its totient is φ = 105391104.

The previous prime is 461133103. The next prime is 461133133. The reversal of 461133120 is 21331164.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42139 + ... + 51941.

Almost surely, 2^461133120 is an apocalyptic number.

461133120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461133120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (851653872).

461133120 is an abundant number, since it is smaller than the sum of its proper divisors (1242174624).

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

461133120 is a wasteful number, since it uses less digits than its factorization.

461133120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9837 (or 9820 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 461133120 is about 21474.0103380808. The cubic root of 461133120 is about 772.5775877496.

Adding to 461133120 its reverse (21331164), we get a palindrome (482464284).

The spelling of 461133120 in words is "four hundred sixty-one million, one hundred thirty-three thousand, one hundred twenty".