425653200 has 540 divisors, whose sum is σ = 1822978560. Its totient is φ = 91445760.

The previous prime is 425653183. The next prime is 425653237. The reversal of 425653200 is 2356524.

425653200 is a `hidden beast` number, since 4 + 2 + 5 + 653 + 2 + 0 + 0 = 666.

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 107 ways as a sum of consecutive naturals, for example, 3351537 + ... + 3351663.

Almost surely, 2^425653200 is an apocalyptic number.

425653200 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 425653200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911489280).

425653200 is an abundant number, since it is smaller than the sum of its proper divisors (1397325360).

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

425653200 is a wasteful number, since it uses less digits than its factorization.

425653200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 425653200 is about 20631.3644725694. The cubic root of 425653200 is about 752.2322826272.

The spelling of 425653200 in words is "four hundred twenty-five million, six hundred fifty-three thousand, two hundred".