402228288 has 224 divisors, whose sum is σ = 1474744320. Its totient is φ = 104440320.

The previous prime is 402228257. The next prime is 402228293. The reversal of 402228288 is 882822204.

402228288 is a `hidden beast` number, since 402 + 228 + 28 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 131545 + ... + 134567.

It is an arithmetic number, because the mean of its divisors is an integer number (6583680).

Almost surely, 2^402228288 is an apocalyptic number.

402228288 is a gapful number since it is divisible by the number (48) 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 402228288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (737372160).

402228288 is an abundant number, since it is smaller than the sum of its proper divisors (1072516032).

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

402228288 is a wasteful number, since it uses less digits than its factorization.

402228288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3046 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 402228288 is about 20055.6298330419. The cubic root of 402228288 is about 738.1719475082.

The spelling of 402228288 in words is "four hundred two million, two hundred twenty-eight thousand, two hundred eighty-eight".