461360120 has 64 divisors (see below), whose sum is σ = 1122297120. Its totient is φ = 169680384.

The previous prime is 461360099. The next prime is 461360143. The reversal of 461360120 is 21063164.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142439 + ... + 145641.

Almost surely, 2^461360120 is an apocalyptic number.

461360120 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 461360120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561148560).

461360120 is an abundant number, since it is smaller than the sum of its proper divisors (660937000).

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

461360120 is a wasteful number, since it uses less digits than its factorization.

461360120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3500 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 461360120 is about 21479.2951467221. The cubic root of 461360120 is about 772.7043380925.

The spelling of 461360120 in words is "four hundred sixty-one million, three hundred sixty thousand, one hundred twenty".