422146560 has 320 divisors, whose sum is σ = 1555614720. Its totient is φ = 96583680.

The previous prime is 422146553. The next prime is 422146573. The reversal of 422146560 is 65641224.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1604989 + ... + 1605251.

It is an arithmetic number, because the mean of its divisors is an integer number (4861296).

Almost surely, 2^422146560 is an apocalyptic number.

422146560 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 422146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777807360).

422146560 is an abundant number, since it is smaller than the sum of its proper divisors (1133468160).

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

422146560 is a wasteful number, since it uses less digits than its factorization.

422146560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 422146560 is about 20546.2054890921. The cubic root of 422146560 is about 750.1608899279.

Adding to 422146560 its reverse (65641224), we get a palindrome (487787784).

The spelling of 422146560 in words is "four hundred twenty-two million, one hundred forty-six thousand, five hundred sixty".