461461220 has 48 divisors (see below), whose sum is σ = 1062282816. Its totient is φ = 166992000.

The previous prime is 461461219. The next prime is 461461289. The reversal of 461461220 is 22164164.

It is a self number, because there is not a number n which added to its sum of digits gives 461461220.

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, 41450 + ... + 51390.

It is an arithmetic number, because the mean of its divisors is an integer number (22130892).

Almost surely, 2^461461220 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 461461220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531141408).

461461220 is an abundant number, since it is smaller than the sum of its proper divisors (600821596).

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

461461220 is a wasteful number, since it uses less digits than its factorization.

461461220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10172 (or 10170 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 461461220 is about 21481.6484469884. The cubic root of 461461220 is about 772.7607760749.

The spelling of 461461220 in words is "four hundred sixty-one million, four hundred sixty-one thousand, two hundred twenty".