425251200 has 192 divisors, whose sum is σ = 1528384320. Its totient is φ = 103065600.

The previous prime is 425251199. The next prime is 425251213. The reversal of 425251200 is 2152524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

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 23 ways as a sum of consecutive naturals, for example, 103587 + ... + 107613.

It is an arithmetic number, because the mean of its divisors is an integer number (7960335).

Almost surely, 2^425251200 is an apocalyptic number.

425251200 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 425251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764192160).

425251200 is an abundant number, since it is smaller than the sum of its proper divisors (1103133120).

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

425251200 is a wasteful number, since it uses less digits than its factorization.

425251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4048 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 425251200 is about 20621.6197229995. The cubic root of 425251200 is about 751.9953975876.

The spelling of 425251200 in words is "four hundred twenty-five million, two hundred fifty-one thousand, two hundred".