425260800 has 432 divisors, whose sum is σ = 1642394880. Its totient is φ = 107458560.

The previous prime is 425260799. The next prime is 425260813. The reversal of 425260800 is 8062524.

425260800 is a `hidden beast` number, since 4 + 2 + 52 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 47 ways as a sum of consecutive naturals, for example, 3974347 + ... + 3974453.

It is an arithmetic number, because the mean of its divisors is an integer number (3801840).

Almost surely, 2^425260800 is an apocalyptic number.

425260800 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 425260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (821197440).

425260800 is an abundant number, since it is smaller than the sum of its proper divisors (1217134080).

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

425260800 is a wasteful number, since it uses less digits than its factorization.

425260800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 425260800 is about 20621.8524871070. The cubic root of 425260800 is about 752.0010562834.

The spelling of 425260800 in words is "four hundred twenty-five million, two hundred sixty thousand, eight hundred".