333448980480 has 1920 divisors, whose sum is σ = 1561736816640. Its totient is φ = 65983610880.

The previous prime is 333448980467. The next prime is 333448980497. The reversal of 333448980480 is 84089844333.

333448980480 is a `hidden beast` number, since 3 + 3 + 3 + 4 + 4 + 89 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-3 number, since 3×333448980480³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1468938127 + ... + 1468938353.

It is an arithmetic number, because the mean of its divisors is an integer number (813404592).

Almost surely, 2^333448980480 is an apocalyptic number.

333448980480 is a gapful number since it is divisible by the number (30) 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 333448980480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (780868408320).

333448980480 is an abundant number, since it is smaller than the sum of its proper divisors (1228287836160).

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

333448980480 is a wasteful number, since it uses less digits than its factorization.

333448980480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 333448980480 in words is "three hundred thirty-three billion, four hundred forty-eight million, nine hundred eighty thousand, four hundred eighty".