422457120 has 240 divisors, whose sum is σ = 1532954808. Its totient is φ = 109486080.

The previous prime is 422457097. The next prime is 422457137. The reversal of 422457120 is 21754224.

It can be written as a sum of positive squares in 4 ways, for example, as 354493584 + 67963536 = 18828^2 + 8244^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 479080 + ... + 479960.

Almost surely, 2^422457120 is an apocalyptic number.

422457120 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 422457120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (766477404).

422457120 is an abundant number, since it is smaller than the sum of its proper divisors (1110497688).

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

422457120 is a wasteful number, since it uses less digits than its factorization.

422457120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 945 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 422457120 is about 20553.7616995041. The cubic root of 422457120 is about 750.3448014583.

The spelling of 422457120 in words is "four hundred twenty-two million, four hundred fifty-seven thousand, one hundred twenty".