426121416 has 96 divisors (see below), whose sum is σ = 1322006400. Its totient is φ = 121466880.

The previous prime is 426121387. The next prime is 426121427. The reversal of 426121416 is 614121624.

426121416 is a `hidden beast` number, since 4 + 2 + 612 + 1 + 41 + 6 = 666.

It is a super-2 number, since 2×426121416² = 363158922347690112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 426121416.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 322405 + ... + 323723.

It is an arithmetic number, because the mean of its divisors is an integer number (13770900).

Almost surely, 2^426121416 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 426121416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661003200).

426121416 is an abundant number, since it is smaller than the sum of its proper divisors (895884984).

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

426121416 is a wasteful number, since it uses less digits than its factorization.

426121416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979 (or 1972 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 426121416 is about 20642.7085432121. The cubic root of 426121416 is about 752.5079985758.

The spelling of 426121416 in words is "four hundred twenty-six million, one hundred twenty-one thousand, four hundred sixteen".