334788480 has 384 divisors, whose sum is σ = 1323241920. Its totient is φ = 77266944.

The previous prime is 334788457. The next prime is 334788511. The reversal of 334788480 is 84887433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×334788480² = 224166652681420800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1272829 + ... + 1273091.

Almost surely, 2^334788480 is an apocalyptic number.

334788480 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 334788480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661620960).

334788480 is an abundant number, since it is smaller than the sum of its proper divisors (988453440).

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

334788480 is a wasteful number, since it uses less digits than its factorization.

334788480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 334788480 is about 18297.2260192631. The cubic root of 334788480 is about 694.3687520890.

The spelling of 334788480 in words is "three hundred thirty-four million, seven hundred eighty-eight thousand, four hundred eighty".