426411720 has 288 divisors, whose sum is σ = 1683789120. Its totient is φ = 93139200.

The previous prime is 426411719. The next prime is 426411721. The reversal of 426411720 is 27114624.

426411720 is a `hidden beast` number, since 4 + 2 + 641 + 17 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (426411719) and next prime (426411721).

It is not an unprimeable number, because it can be changed into a prime (426411721) 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 71 ways as a sum of consecutive naturals, for example, 405195 + ... + 406245.

It is an arithmetic number, because the mean of its divisors is an integer number (5846490).

Almost surely, 2^426411720 is an apocalyptic number.

426411720 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 426411720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841894560).

426411720 is an abundant number, since it is smaller than the sum of its proper divisors (1257377400).

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

426411720 is a wasteful number, since it uses less digits than its factorization.

426411720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1105 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 426411720 is about 20649.7389814012. The cubic root of 426411720 is about 752.6788469798.

The spelling of 426411720 in words is "four hundred twenty-six million, four hundred eleven thousand, seven hundred twenty".