426566448 has 480 divisors, whose sum is σ = 1649037312. Its totient is φ = 99532800.

The previous prime is 426566447. The next prime is 426566449. The reversal of 426566448 is 844665624.

426566448 is a `hidden beast` number, since 42 + 6 + 566 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (426566447) and next prime (426566449).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (1105920) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (426566447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5843340 + ... + 5843412.

Almost surely, 2^426566448 is an apocalyptic number.

426566448 is a gapful number since it is divisible by the number (48) 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 426566448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824518656).

426566448 is an abundant number, since it is smaller than the sum of its proper divisors (1222470864).

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

426566448 is a wasteful number, since it uses less digits than its factorization.

426566448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 144 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 426566448 is about 20653.4851296337. The cubic root of 426566448 is about 752.7698751291.

The spelling of 426566448 in words is "four hundred twenty-six million, five hundred sixty-six thousand, four hundred forty-eight".