340404480 has 216 divisors, whose sum is σ = 1268919288. Its totient is φ = 83755008.

The previous prime is 340404451. The next prime is 340404499. The reversal of 340404480 is 84404043.

It can be written as a sum of positive squares in 4 ways, for example, as 40144896 + 300259584 = 6336^2 + 17328^2 .

It is a super-3 number, since 3×340404480³ (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148624 + ... + 150896.

Almost surely, 2^340404480 is an apocalyptic number.

340404480 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 340404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634459644).

340404480 is an abundant number, since it is smaller than the sum of its proper divisors (928514808).

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

340404480 is a wasteful number, since it uses less digits than its factorization.

340404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2313 (or 2296 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 340404480 is about 18450.0536584586. The cubic root of 340404480 is about 698.2298676685.

The spelling of 340404480 in words is "three hundred forty million, four hundred four thousand, four hundred eighty".