426416364 has 72 divisors (see below), whose sum is σ = 1195871040. Its totient is φ = 127020000.

The previous prime is 426416357. The next prime is 426416369. The reversal of 426416364 is 463614624.

426416364 is a `hidden beast` number, since 4 + 2 + 641 + 6 + 3 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (426416369) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14239 + ... + 32489.

It is an arithmetic number, because the mean of its divisors is an integer number (16609320).

Almost surely, 2^426416364 is an apocalyptic number.

426416364 is a gapful number since it is divisible by the number (44) 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 426416364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597935520).

426416364 is an abundant number, since it is smaller than the sum of its proper divisors (769454676).

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

426416364 is a wasteful number, since it uses less digits than its factorization.

426416364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18331 (or 18326 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 426416364 is about 20649.8514280370. The cubic root of 426416364 is about 752.6815794156.

The spelling of 426416364 in words is "four hundred twenty-six million, four hundred sixteen thousand, three hundred sixty-four".