402442200 has 288 divisors, whose sum is σ = 1420623360. Its totient is φ = 102009600.

The previous prime is 402442181. The next prime is 402442219. The reversal of 402442200 is 2244204.

402442200 is a `hidden beast` number, since 402 + 44 + 220 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (402442181) and next prime (402442219).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 5668165 + ... + 5668235.

It is an arithmetic number, because the mean of its divisors is an integer number (4932720).

Almost surely, 2^402442200 is an apocalyptic number.

402442200 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 402442200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710311680).

402442200 is an abundant number, since it is smaller than the sum of its proper divisors (1018181160).

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

402442200 is a wasteful number, since it uses less digits than its factorization.

402442200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 402442200 is about 20060.9620905878. The cubic root of 402442200 is about 738.3027818781.

Adding to 402442200 its reverse (2244204), we get a palindrome (404686404).

The spelling of 402442200 in words is "four hundred two million, four hundred forty-two thousand, two hundred".