461669120 has 72 divisors (see below), whose sum is σ = 1206409680. Its totient is φ = 167874560.

The previous prime is 461669101. The next prime is 461669123. The reversal of 461669120 is 21966164.

It is not an unprimeable number, because it can be changed into a prime (461669123) 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, 2315 + ... + 30474.

It is an arithmetic number, because the mean of its divisors is an integer number (16755690).

Almost surely, 2^461669120 is an apocalyptic number.

461669120 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 461669120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (603204840).

461669120 is an abundant number, since it is smaller than the sum of its proper divisors (744740560).

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

461669120 is a wasteful number, since it uses less digits than its factorization.

461669120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32821 (or 32807 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 461669120 is about 21486.4869161992. The cubic root of 461669120 is about 772.8768081037.

The spelling of 461669120 in words is "four hundred sixty-one million, six hundred sixty-nine thousand, one hundred twenty".