460422414 has 64 divisors (see below), whose sum is σ = 1060012800. Its totient is φ = 148036896.

The previous prime is 460422409. The next prime is 460422427. The reversal of 460422414 is 414224064.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191532 + ... + 193920.

It is an arithmetic number, because the mean of its divisors is an integer number (16562700).

Almost surely, 2^460422414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 460422414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530006400).

460422414 is an abundant number, since it is smaller than the sum of its proper divisors (599590386).

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

460422414 is a wasteful number, since it uses less digits than its factorization.

460422414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2526 (or 2520 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 460422414 is about 21457.4559069802. The cubic root of 460422414 is about 772.1804805468.

Adding to 460422414 its reverse (414224064), we get a palindrome (874646478).

The spelling of 460422414 in words is "four hundred sixty million, four hundred twenty-two thousand, four hundred fourteen".