902218240 has 320 divisors, whose sum is σ = 2828390400. Its totient is φ = 267632640.

The previous prime is 902218193. The next prime is 902218253. The reversal of 902218240 is 42812209.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 902218199 and 902218208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4533661 + ... + 4533859.

It is an arithmetic number, because the mean of its divisors is an integer number (8838720).

Almost surely, 2^902218240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 902218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414195200).

902218240 is an abundant number, since it is smaller than the sum of its proper divisors (1926172160).

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

902218240 is a wasteful number, since it uses less digits than its factorization.

902218240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 902218240 is about 30036.9479141939. The cubic root of 902218240 is about 966.2819512838.

The spelling of 902218240 in words is "nine hundred two million, two hundred eighteen thousand, two hundred forty".