422979840 has 144 divisors (see below), whose sum is σ = 1501113600. Its totient is φ = 112785408.

The previous prime is 422979833. The next prime is 422979847. The reversal of 422979840 is 48979224.

It is an interprime number because it is at equal distance from previous prime (422979833) and next prime (422979847).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (422979847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28441 + ... + 40679.

It is an arithmetic number, because the mean of its divisors is an integer number (10424400).

Almost surely, 2^422979840 is an apocalyptic number.

422979840 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 422979840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (750556800).

422979840 is an abundant number, since it is smaller than the sum of its proper divisors (1078133760).

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

422979840 is a wasteful number, since it uses less digits than its factorization.

422979840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12269 (or 12249 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 422979840 is about 20566.4736889920. The cubic root of 422979840 is about 750.6541492857.

The spelling of 422979840 in words is "four hundred twenty-two million, nine hundred seventy-nine thousand, eight hundred forty".