422713200 has 480 divisors, whose sum is σ = 1722112000. Its totient is φ = 88058880.

The previous prime is 422713199. The next prime is 422713201. The reversal of 422713200 is 2317224.

422713200 = T₃₄₄ + T₃₄₅ + ... + T₁₃₇₀.

It is an interprime number because it is at equal distance from previous prime (422713199) and next prime (422713201).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422713201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5350761 + ... + 5350839.

Almost surely, 2^422713200 is an apocalyptic number.

422713200 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 422713200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (861056000).

422713200 is an abundant number, since it is smaller than the sum of its proper divisors (1299398800).

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

422713200 is a wasteful number, since it uses less digits than its factorization.

422713200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 422713200 is about 20559.9902723712. The cubic root of 422713200 is about 750.4963825112.

The spelling of 422713200 in words is "four hundred twenty-two million, seven hundred thirteen thousand, two hundred".