422351820 has 240 divisors, whose sum is σ = 1464347808. Its totient is φ = 101053440.

The previous prime is 422351759. The next prime is 422351827. The reversal of 422351820 is 28153224.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (422351827) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2441254 + ... + 2441426.

Almost surely, 2^422351820 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 422351820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732173904).

422351820 is an abundant number, since it is smaller than the sum of its proper divisors (1041995988).

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

422351820 is a wasteful number, since it uses less digits than its factorization.

422351820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 422351820 is about 20551.1999649655. The cubic root of 422351820 is about 750.2824536133.

The spelling of 422351820 in words is "four hundred twenty-two million, three hundred fifty-one thousand, eight hundred twenty".