426772720 has 80 divisors (see below), whose sum is σ = 1095679872. Its totient is φ = 153294080.

The previous prime is 426772679. The next prime is 426772727. The reversal of 426772720 is 27277624.

426772720 is a nontrivial binomial coefficient, being equal to C(29216, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 426772720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426772727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70119 + ... + 75961.

Almost surely, 2^426772720 is an apocalyptic number.

426772720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

426772720 is the 29215-th triangular number and also the 14608-th hexagonal number.

426772720 is the 9739-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426772720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547839936).

426772720 is an abundant number, since it is smaller than the sum of its proper divisors (668907152).

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

426772720 is a wasteful number, since it uses less digits than its factorization.

426772720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5950 (or 5944 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 426772720 is about 20658.4781627302. The cubic root of 426772720 is about 752.8911929423.

It can be divided in two parts, 426 and 772720, that added together give a triangular number (773146 = T₁₂₄₃).

The spelling of 426772720 in words is "four hundred twenty-six million, seven hundred seventy-two thousand, seven hundred twenty".