1426824360 has 192 divisors, whose sum is σ = 5166579600. Its totient is φ = 339075072.

The previous prime is 1426824341. The next prime is 1426824367. The reversal of 1426824360 is 634286241.

1426824360 is a `hidden beast` number, since 14 + 268 + 24 + 360 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30008484 + 1396815876 = 5478^2 + 37374^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1426824367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 130464 + ... + 140976.

Almost surely, 2^1426824360 is an apocalyptic number.

1426824360 is a gapful number since it is divisible by the number (10) 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 1426824360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583289800).

1426824360 is an abundant number, since it is smaller than the sum of its proper divisors (3739755240).

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

1426824360 is a wasteful number, since it uses less digits than its factorization.

1426824360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10572 (or 10565 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 1426824360 is about 37773.3286857274. The cubic root of 1426824360 is about 1125.7885789611.

The spelling of 1426824360 in words is "one billion, four hundred twenty-six million, eight hundred twenty-four thousand, three hundred sixty".