426084120 has 384 divisors, whose sum is σ = 1819584000. Its totient is φ = 83773440.

The previous prime is 426084103. The next prime is 426084133. The reversal of 426084120 is 21480624.

426084120 is a `hidden beast` number, since 42 + 608 + 4 + 12 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 526276 + ... + 527084.

It is an arithmetic number, because the mean of its divisors is an integer number (4738500).

Almost surely, 2^426084120 is an apocalyptic number.

426084120 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 426084120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909792000).

426084120 is an abundant number, since it is smaller than the sum of its proper divisors (1393499880).

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

426084120 is a wasteful number, since it uses less digits than its factorization.

426084120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 426084120 is about 20641.8051536197. The cubic root of 426084120 is about 752.4860436774.

The spelling of 426084120 in words is "four hundred twenty-six million, eighty-four thousand, one hundred twenty".