422077824 has 256 divisors, whose sum is σ = 1449216000. Its totient is φ = 118444032.

The previous prime is 422077811. The next prime is 422077841. The reversal of 422077824 is 428770224.

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

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

It is a congruent number.

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, 1765897 + ... + 1766135.

It is an arithmetic number, because the mean of its divisors is an integer number (5661000).

Almost surely, 2^422077824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 422077824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724608000).

422077824 is an abundant number, since it is smaller than the sum of its proper divisors (1027138176).

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

422077824 is a wasteful number, since it uses less digits than its factorization.

422077824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 422077824 is about 20544.5327033739. The cubic root of 422077824 is about 750.1201727437.

The spelling of 422077824 in words is "four hundred twenty-two million, seventy-seven thousand, eight hundred twenty-four".