425322400 has 72 divisors (see below), whose sum is σ = 1066455180. Its totient is φ = 165519360.

The previous prime is 425322389. The next prime is 425322419. The reversal of 425322400 is 4223524.

It can be written as a sum of positive squares in 6 ways, for example, as 270668304 + 154654096 = 16452^2 + 12436^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22416 + ... + 36784.

Almost surely, 2^425322400 is an apocalyptic number.

425322400 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 425322400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (533227590).

425322400 is an abundant number, since it is smaller than the sum of its proper divisors (641132780).

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

425322400 is a wasteful number, since it uses less digits than its factorization.

425322400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14426 (or 14413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 22.

The square root of 425322400 is about 20623.3459942852. The cubic root of 425322400 is about 752.0373642216.

Adding to 425322400 its reverse (4223524), we get a palindrome (429545924).

The spelling of 425322400 in words is "four hundred twenty-five million, three hundred twenty-two thousand, four hundred".