425339200 has 252 divisors, whose sum is σ = 1246217980. Its totient is φ = 142771200.

The previous prime is 425339197. The next prime is 425339267. The reversal of 425339200 is 2933524.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 344770624 + 80568576 = 18568^2 + 8976^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 32718394 + ... + 32718406.

Almost surely, 2^425339200 is an apocalyptic number.

425339200 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 425339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623108990).

425339200 is an abundant number, since it is smaller than the sum of its proper divisors (820878780).

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

425339200 is a wasteful number, since it uses less digits than its factorization.

425339200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 425339200 is about 20623.7532956540. The cubic root of 425339200 is about 752.0472657782.

The spelling of 425339200 in words is "four hundred twenty-five million, three hundred thirty-nine thousand, two hundred".