460042220 has 48 divisors (see below), whose sum is σ = 1063819008. Its totient is φ = 165716160.

The previous prime is 460042211. The next prime is 460042229. The reversal of 460042220 is 22240064.

It is an interprime number because it is at equal distance from previous prime (460042211) and next prime (460042229).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 460042192 and 460042201.

It is not an unprimeable number, because it can be changed into a prime (460042229) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13769 + ... + 33311.

It is an arithmetic number, because the mean of its divisors is an integer number (22162896).

Almost surely, 2^460042220 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 460042220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531909504).

460042220 is an abundant number, since it is smaller than the sum of its proper divisors (603776788).

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

460042220 is a wasteful number, since it uses less digits than its factorization.

460042220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19670 (or 19668 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 460042220 is about 21448.5948257689. The cubic root of 460042220 is about 771.9678792331.

Adding to 460042220 its reverse (22240064), we get a palindrome (482282284).

The spelling of 460042220 in words is "four hundred sixty million, forty-two thousand, two hundred twenty".