460222400 has 168 divisors, whose sum is σ = 1254800640. Its totient is φ = 164736000.

The previous prime is 460222381. The next prime is 460222403. The reversal of 460222400 is 4222064.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460222403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1390235 + ... + 1390565.

Almost surely, 2^460222400 is an apocalyptic number.

460222400 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 460222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627400320).

460222400 is an abundant number, since it is smaller than the sum of its proper divisors (794578240).

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

460222400 is a wasteful number, since it uses less digits than its factorization.

460222400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 428 counting only the distinct ones).

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

The square root of 460222400 is about 21452.7946897368. The cubic root of 460222400 is about 772.0686489822.

Adding to 460222400 its reverse (4222064), we get a palindrome (464444464).

The spelling of 460222400 in words is "four hundred sixty million, two hundred twenty-two thousand, four hundred".