422803440 has 240 divisors, whose sum is σ = 1488520800. Its totient is φ = 107440128.

The previous prime is 422803427. The next prime is 422803453. The reversal of 422803440 is 44308224.

It is a happy number.

422803440 is a `hidden beast` number, since 42 + 280 + 344 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (422803427) and next prime (422803453).

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1571626 + ... + 1571894.

It is an arithmetic number, because the mean of its divisors is an integer number (6202170).

Almost surely, 2^422803440 is an apocalyptic number.

422803440 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 422803440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744260400).

422803440 is an abundant number, since it is smaller than the sum of its proper divisors (1065717360).

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

422803440 is a wasteful number, since it uses less digits than its factorization.

422803440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 375 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 422803440 is about 20562.1847088290. The cubic root of 422803440 is about 750.5497835523.

The spelling of 422803440 in words is "four hundred twenty-two million, eight hundred three thousand, four hundred forty".