425073600 has 252 divisors, whose sum is σ = 1727051664. Its totient is φ = 97136640.

The previous prime is 425073587. The next prime is 425073601. The reversal of 425073600 is 6370524.

It is a happy number.

425073600 is a `hidden beast` number, since 4 + 2 + 50 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (252).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425073601) by changing a digit.

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, 98692 + ... + 102908.

Almost surely, 2^425073600 is an apocalyptic number.

425073600 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 425073600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (863525832).

425073600 is an abundant number, since it is smaller than the sum of its proper divisors (1301978064).

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

425073600 is a wasteful number, since it uses less digits than its factorization.

425073600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 4234 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 425073600 is about 20617.3131130126. The cubic root of 425073600 is about 751.8906963512.

The spelling of 425073600 in words is "four hundred twenty-five million, seventy-three thousand, six hundred".