402225000 has 192 divisors, whose sum is σ = 1304916480. Its totient is φ = 103200000.

The previous prime is 402224957. The next prime is 402225001. The reversal of 402225000 is 522204.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (402225001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2324914 + ... + 2325086.

It is an arithmetic number, because the mean of its divisors is an integer number (6796440).

Almost surely, 2^402225000 is an apocalyptic number.

402225000 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 402225000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652458240).

402225000 is an abundant number, since it is smaller than the sum of its proper divisors (902691480).

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

402225000 is a wasteful number, since it uses less digits than its factorization.

402225000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 402225000 is about 20055.5478608788. The cubic root of 402225000 is about 738.1699361164.

Adding to 402225000 its reverse (522204), we get a palindrome (402747204).

The spelling of 402225000 in words is "four hundred two million, two hundred twenty-five thousand".