425600 has 96 divisors (see below), whose sum is σ = 1264800. Its totient is φ = 138240.

The previous prime is 425591. The next prime is 425603. The reversal of 425600 is 6524.

It is a super-2 number, since 2×425600² = 362270720000, which contains 22 as substring.

It is an Ulam number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 425600.

It is not an unprimeable number, because it can be changed into a prime (425603) 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, 22391 + ... + 22409.

It is an arithmetic number, because the mean of its divisors is an integer number (13175).

2⁴²⁵⁶⁰⁰ is an apocalyptic number.

425600 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 425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632400).

425600 is an abundant number, since it is smaller than the sum of its proper divisors (839200).

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

425600 is a wasteful number, since it uses less digits than its factorization.

425600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 425600 is about 652.3802572120. The cubic root of 425600 is about 75.2200942227.

It can be divided in two parts, 4 and 25600, that multiplied together give a square (102400 = 320²).

The spelling of 425600 in words is "four hundred twenty-five thousand, six hundred".