422949600 has 360 divisors, whose sum is σ = 1582351848. Its totient is φ = 109900800.

The previous prime is 422949589. The next prime is 422949607. The reversal of 422949600 is 6949224.

422949600 is a `hidden beast` number, since 4 + 2 + 2 + 9 + 49 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422949607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3952747 + ... + 3952853.

Almost surely, 2^422949600 is an apocalyptic number.

422949600 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 422949600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791175924).

422949600 is an abundant number, since it is smaller than the sum of its proper divisors (1159402248).

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

422949600 is a wasteful number, since it uses less digits than its factorization.

422949600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 422949600 is about 20565.7384987751. The cubic root of 422949600 is about 750.6362600782.

The spelling of 422949600 in words is "four hundred twenty-two million, nine hundred forty-nine thousand, six hundred".