422357760 has 432 divisors, whose sum is σ = 1663734240. Its totient is φ = 101376000.

The previous prime is 422357759. The next prime is 422357791. The reversal of 422357760 is 67753224.

It is a happy number.

422357760 is a `hidden beast` number, since 4 + 2 + 23 + 577 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4181710 + ... + 4181810.

Almost surely, 2^422357760 is an apocalyptic number.

422357760 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 422357760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831867120).

422357760 is an abundant number, since it is smaller than the sum of its proper divisors (1241376480).

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

422357760 is a wasteful number, since it uses less digits than its factorization.

422357760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 422357760 is about 20551.3444815662. The cubic root of 422357760 is about 750.2859709470.

The spelling of 422357760 in words is "four hundred twenty-two million, three hundred fifty-seven thousand, seven hundred sixty".