426466440 has 192 divisors, whose sum is σ = 1442104560. Its totient is φ = 109209600.

The previous prime is 426466427. The next prime is 426466487. The reversal of 426466440 is 44664624.

It is a happy number.

426466440 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 6 + 644 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 286895844 + 139570596 = 16938^2 + 11814^2 .

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 = 426466395 and 426466404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1345162 + ... + 1345478.

Almost surely, 2^426466440 is an apocalyptic number.

426466440 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 426466440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721052280).

426466440 is an abundant number, since it is smaller than the sum of its proper divisors (1015638120).

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

426466440 is a wasteful number, since it uses less digits than its factorization.

426466440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The square root of 426466440 is about 20651.0638951120. The cubic root of 426466440 is about 752.7110418617.

The spelling of 426466440 in words is "four hundred twenty-six million, four hundred sixty-six thousand, four hundred forty".