402984288 has 192 divisors, whose sum is σ = 1402168320. Its totient is φ = 110094336.

The previous prime is 402984287. The next prime is 402984299. The reversal of 402984288 is 882489204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402984287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137656 + ... + 140552.

It is an arithmetic number, because the mean of its divisors is an integer number (7302960).

Almost surely, 2^402984288 is an apocalyptic number.

402984288 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 402984288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701084160).

402984288 is an abundant number, since it is smaller than the sum of its proper divisors (999184032).

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

402984288 is a wasteful number, since it uses less digits than its factorization.

402984288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2946 (or 2932 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

The square root of 402984288 is about 20074.4685608362. The cubic root of 402984288 is about 738.6341300918.

The spelling of 402984288 in words is "four hundred two million, nine hundred eighty-four thousand, two hundred eighty-eight".