426382176 has 96 divisors (see below), whose sum is σ = 1227744000. Its totient is φ = 128494080.

The previous prime is 426382163. The next prime is 426382183. The reversal of 426382176 is 671283624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209130 + ... + 211158.

It is an arithmetic number, because the mean of its divisors is an integer number (12789000).

Almost surely, 2^426382176 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426382176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613872000).

426382176 is an abundant number, since it is smaller than the sum of its proper divisors (801361824).

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

426382176 is a wasteful number, since it uses less digits than its factorization.

426382176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2252 (or 2244 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 426382176 is about 20649.0236088780. The cubic root of 426382176 is about 752.6614634227.

The spelling of 426382176 in words is "four hundred twenty-six million, three hundred eighty-two thousand, one hundred seventy-six".