422577792 has 384 divisors, whose sum is σ = 1559376000. Its totient is φ = 106831872.

The previous prime is 422577773. The next prime is 422577853. The reversal of 422577792 is 297775224.

422577792 is a `hidden beast` number, since 4 + 2 + 2 + 577 + 79 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3040059 + ... + 3040197.

It is an arithmetic number, because the mean of its divisors is an integer number (4060875).

Almost surely, 2^422577792 is an apocalyptic number.

422577792 is a gapful number since it is divisible by the number (42) 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 422577792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779688000).

422577792 is an abundant number, since it is smaller than the sum of its proper divisors (1136798208).

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

422577792 is a wasteful number, since it uses less digits than its factorization.

422577792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 193 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 422577792 is about 20556.6970109500. The cubic root of 422577792 is about 750.4162382849.

The spelling of 422577792 in words is "four hundred twenty-two million, five hundred seventy-seven thousand, seven hundred ninety-two".