426619872 has 180 divisors, whose sum is σ = 1459956960. Its totient is φ = 121855104.

The previous prime is 426619867. The next prime is 426619889. The reversal of 426619872 is 278916624.

It is a happy number.

426619872 is a `hidden beast` number, since 4 + 26 + 619 + 8 + 7 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125329 + ... + 128687.

It is an arithmetic number, because the mean of its divisors is an integer number (8110872).

Almost surely, 2^426619872 is an apocalyptic number.

426619872 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 426619872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (729978480).

426619872 is an abundant number, since it is smaller than the sum of its proper divisors (1033337088).

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

426619872 is a wasteful number, since it uses less digits than its factorization.

426619872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3395 (or 3371 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 426619872 is about 20654.7784301841. The cubic root of 426619872 is about 752.8012999315.

The spelling of 426619872 in words is "four hundred twenty-six million, six hundred nineteen thousand, eight hundred seventy-two".