426677328 has 320 divisors, whose sum is σ = 1554186240. Its totient is φ = 108864000.

The previous prime is 426677323. The next prime is 426677333. The reversal of 426677328 is 823776624.

It is an interprime number because it is at equal distance from previous prime (426677323) and next prime (426677333).

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 (426677323) 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 63 ways as a sum of consecutive naturals, for example, 3359601 + ... + 3359727.

It is an arithmetic number, because the mean of its divisors is an integer number (4856832).

Almost surely, 2^426677328 is an apocalyptic number.

426677328 is a gapful number since it is divisible by the number (48) 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 426677328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777093120).

426677328 is an abundant number, since it is smaller than the sum of its proper divisors (1127508912).

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

426677328 is a wasteful number, since it uses less digits than its factorization.

426677328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 251 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 426677328 is about 20656.1692479511. The cubic root of 426677328 is about 752.8350934893.

The spelling of 426677328 in words is "four hundred twenty-six million, six hundred seventy-seven thousand, three hundred twenty-eight".