426636672 has 256 divisors, whose sum is σ = 1447649280. Its totient is φ = 108103680.

The previous prime is 426636671. The next prime is 426636673. The reversal of 426636672 is 276636624.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (426636671) and next prime (426636673).

It is a Harshad number since it is a multiple of its sum of digits (42).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426636671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1389543 + ... + 1389849.

It is an arithmetic number, because the mean of its divisors is an integer number (5654880).

Almost surely, 2^426636672 is an apocalyptic number.

426636672 is a gapful number since it is divisible by the number (42) 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 426636672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723824640).

426636672 is an abundant number, since it is smaller than the sum of its proper divisors (1021012608).

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

426636672 is a wasteful number, since it uses less digits than its factorization.

426636672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 377 counting only the distinct ones).

The product of its digits is 435456, while the sum is 42.

The square root of 426636672 is about 20655.1851117341. The cubic root of 426636672 is about 752.8111814027.

The spelling of 426636672 in words is "four hundred twenty-six million, six hundred thirty-six thousand, six hundred seventy-two".