422420400 has 120 divisors (see below), whose sum is σ = 1503542160. Its totient is φ = 112642560.

The previous prime is 422420381. The next prime is 422420429. The reversal of 422420400 is 4024224.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8757 + ... + 30356.

It is an arithmetic number, because the mean of its divisors is an integer number (12529518).

Almost surely, 2^422420400 is an apocalyptic number.

422420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

422420400 is an abundant number, since it is smaller than the sum of its proper divisors (1081121760).

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

422420400 is a wasteful number, since it uses less digits than its factorization.

422420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39140 (or 39123 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 422420400 is about 20552.8684129491. The cubic root of 422420400 is about 750.3230608223.

Adding to 422420400 its reverse (4024224), we get a palindrome (426444624).

The spelling of 422420400 in words is "four hundred twenty-two million, four hundred twenty thousand, four hundred".