425320400 has 60 divisors (see below), whose sum is σ = 1024329900. Its totient is φ = 169712640.

The previous prime is 425320391. The next prime is 425320421. The reversal of 425320400 is 4023524.

It can be written as a sum of positive squares in 6 ways, for example, as 24840256 + 400480144 = 4984^2 + 20012^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202556 + ... + 204644.

It is an arithmetic number, because the mean of its divisors is an integer number (17072165).

Almost surely, 2^425320400 is an apocalyptic number.

425320400 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 425320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512164950).

425320400 is an abundant number, since it is smaller than the sum of its proper divisors (599009500).

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

425320400 is a wasteful number, since it uses less digits than its factorization.

425320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2605 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 20.

The square root of 425320400 is about 20623.2975054912. The cubic root of 425320400 is about 752.0361854475.

Adding to 425320400 its reverse (4023524), we get a palindrome (429343924).

The spelling of 425320400 in words is "four hundred twenty-five million, three hundred twenty thousand, four hundred".