902282334480 has 1600 divisors, whose sum is σ = 3665028280320. Its totient is φ = 204241305600.

The previous prime is 902282334479. The next prime is 902282334553. The reversal of 902282334480 is 84433282209.

902282334480 is a `hidden beast` number, since 9 + 0 + 228 + 2 + 3 + 344 + 80 = 666.

It is a super-2 number, since 2×902282334480² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4723991185 + ... + 4723991375.

Almost surely, 2^902282334480 is an apocalyptic number.

902282334480 is a gapful number since it is divisible by the number (90) 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 902282334480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1832514140160).

902282334480 is an abundant number, since it is smaller than the sum of its proper divisors (2762745945840).

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

902282334480 is a wasteful number, since it uses less digits than its factorization.

902282334480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 902282334480 in words is "nine hundred two billion, two hundred eighty-two million, three hundred thirty-four thousand, four hundred eighty".