334860480 has 140 divisors (see below), whose sum is σ = 1191249840. Its totient is φ = 89289216.

The previous prime is 334860467. The next prime is 334860499. The reversal of 334860480 is 84068433.

334860480 is a `hidden beast` number, since 3 + 3 + 48 + 604 + 8 + 0 = 666.

It is a super-3 number, since 3×334860480³ (a number of 27 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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 19461 + ... + 32379.

Almost surely, 2^334860480 is an apocalyptic number.

334860480 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 334860480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595624920).

334860480 is an abundant number, since it is smaller than the sum of its proper divisors (856389360).

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

334860480 is a wasteful number, since it uses less digits than its factorization.

334860480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12948 (or 12929 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 334860480 is about 18299.1934248480. The cubic root of 334860480 is about 694.4185257716.

The spelling of 334860480 in words is "three hundred thirty-four million, eight hundred sixty thousand, four hundred eighty".