426453120 has 512 divisors, whose sum is σ = 1674432000. Its totient is φ = 102187008.

The previous prime is 426453113. The next prime is 426453161. The reversal of 426453120 is 21354624.

426453120 is a `hidden beast` number, since 4 + 2 + 645 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 63 ways as a sum of consecutive naturals, for example, 11525742 + ... + 11525778.

It is an arithmetic number, because the mean of its divisors is an integer number (3270375).

Almost surely, 2^426453120 is an apocalyptic number.

426453120 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 426453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837216000).

426453120 is an abundant number, since it is smaller than the sum of its proper divisors (1247978880).

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

426453120 is a wasteful number, since it uses less digits than its factorization.

426453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 426453120 is about 20650.7413910494. The cubic root of 426453120 is about 752.7032052033.

The spelling of 426453120 in words is "four hundred twenty-six million, four hundred fifty-three thousand, one hundred twenty".