425419200 has 252 divisors, whose sum is σ = 1562453568. Its totient is φ = 109670400.

The previous prime is 425419133. The next prime is 425419213. The reversal of 425419200 is 2914524.

425419200 is a `hidden beast` number, since 42 + 5 + 419 + 200 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 445924 + ... + 446876.

Almost surely, 2^425419200 is an apocalyptic number.

425419200 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 425419200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (781226784).

425419200 is an abundant number, since it is smaller than the sum of its proper divisors (1137034368).

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

425419200 is a wasteful number, since it uses less digits than its factorization.

425419200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 994 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 425419200 is about 20625.6927156399. The cubic root of 425419200 is about 752.0944124709.

The spelling of 425419200 in words is "four hundred twenty-five million, four hundred nineteen thousand, two hundred".