426147840 has 288 divisors, whose sum is σ = 1569301110. Its totient is φ = 106954752.

The previous prime is 426147811. The next prime is 426147853. The reversal of 426147840 is 48741624.

It can be written as a sum of positive squares in 3 ways, for example, as 414203904 + 11943936 = 20352^2 + 3456^2 .

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 426147795 and 426147804.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 25067512 + ... + 25067528.

Almost surely, 2^426147840 is an apocalyptic number.

426147840 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 426147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784650555).

426147840 is an abundant number, since it is smaller than the sum of its proper divisors (1143153270).

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

426147840 is an equidigital number, since it uses as much as digits as its factorization.

426147840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 426147840 is about 20643.3485655792. The cubic root of 426147840 is about 752.5235527188.

The spelling of 426147840 in words is "four hundred twenty-six million, one hundred forty-seven thousand, eight hundred forty".