426793920 has 336 divisors, whose sum is σ = 1620609408. Its totient is φ = 94832640.

The previous prime is 426793909. The next prime is 426793921. The reversal of 426793920 is 29397624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426793921) 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 47 ways as a sum of consecutive naturals, for example, 2022615 + ... + 2022825.

Almost surely, 2^426793920 is an apocalyptic number.

426793920 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 426793920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810304704).

426793920 is an abundant number, since it is smaller than the sum of its proper divisors (1193815488).

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

426793920 is a wasteful number, since it uses less digits than its factorization.

426793920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The square root of 426793920 is about 20658.9912628860. The cubic root of 426793920 is about 752.9036593975.

The spelling of 426793920 in words is "four hundred twenty-six million, seven hundred ninety-three thousand, nine hundred twenty".