426057408 has 280 divisors, whose sum is σ = 1475232000. Its totient is φ = 119066112.

The previous prime is 426057353. The next prime is 426057409. The reversal of 426057408 is 804750624.

426057408 is a `hidden beast` number, since 4 + 2 + 605 + 7 + 40 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (426057409) 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 39 ways as a sum of consecutive naturals, for example, 2140893 + ... + 2141091.

Almost surely, 2^426057408 is an apocalyptic number.

426057408 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 426057408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737616000).

426057408 is an abundant number, since it is smaller than the sum of its proper divisors (1049174592).

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

426057408 is a wasteful number, since it uses less digits than its factorization.

426057408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 426057408 is about 20641.1581070443. The cubic root of 426057408 is about 752.4703184357.

The spelling of 426057408 in words is "four hundred twenty-six million, fifty-seven thousand, four hundred eight".