426293280 has 480 divisors, whose sum is σ = 1779757056. Its totient is φ = 94058496.

The previous prime is 426293269. The next prime is 426293299. The reversal of 426293280 is 82392624.

426293280 is a `hidden beast` number, since 4 + 2 + 629 + 3 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3356577 + ... + 3356703.

Almost surely, 2^426293280 is an apocalyptic number.

426293280 is a gapful number since it is divisible by the number (40) 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 426293280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (889878528).

426293280 is an abundant number, since it is smaller than the sum of its proper divisors (1353463776).

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

426293280 is a wasteful number, since it uses less digits than its factorization.

426293280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 426293280 is about 20646.8709493715. The cubic root of 426293280 is about 752.6091525714.

The spelling of 426293280 in words is "four hundred twenty-six million, two hundred ninety-three thousand, two hundred eighty".