426033216 has 112 divisors (see below), whose sum is σ = 1431422080. Its totient is φ = 121720320.

The previous prime is 426033197. The next prime is 426033221. The reversal of 426033216 is 612330624.

426033216 is a `hidden beast` number, since 42 + 603 + 3 + 2 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×426033216² = 363008602270605312, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 426033216.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5515 + ... + 29706.

Almost surely, 2^426033216 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 426033216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715711040).

426033216 is an abundant number, since it is smaller than the sum of its proper divisors (1005388864).

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

426033216 is a wasteful number, since it uses less digits than its factorization.

426033216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35249 (or 35233 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 426033216 is about 20640.5720850949. The cubic root of 426033216 is about 752.4560761403.

The spelling of 426033216 in words is "four hundred twenty-six million, thirty-three thousand, two hundred sixteen".