425206400 has 96 divisors (see below), whose sum is σ = 1062906300. Its totient is φ = 168058880.

The previous prime is 425206391. The next prime is 425206409. The reversal of 425206400 is 4602524.

It is an interprime number because it is at equal distance from previous prime (425206391) and next prime (425206409).

It can be written as a sum of positive squares in 6 ways, for example, as 171505216 + 253701184 = 13096^2 + 15928^2 .

It is not an unprimeable number, because it can be changed into a prime (425206409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 284054 + ... + 285546.

Almost surely, 2^425206400 is an apocalyptic number.

425206400 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 425206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531453150).

425206400 is an abundant number, since it is smaller than the sum of its proper divisors (637699900).

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

425206400 is a wasteful number, since it uses less digits than its factorization.

425206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 425206400 is about 20620.5334557572. The cubic root of 425206400 is about 751.9689892146.

Adding to 425206400 its reverse (4602524), we get a palindrome (429808924).

The spelling of 425206400 in words is "four hundred twenty-five million, two hundred six thousand, four hundred".