340872480 has 288 divisors, whose sum is σ = 1271350080. Its totient is φ = 82667520.

The previous prime is 340872479. The next prime is 340872509. The reversal of 340872480 is 84278043.

340872480 is a `hidden beast` number, since 3 + 408 + 7 + 248 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 2452251 + ... + 2452389.

It is an arithmetic number, because the mean of its divisors is an integer number (4414410).

Almost surely, 2^340872480 is an apocalyptic number.

340872480 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 340872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (635675040).

340872480 is an abundant number, since it is smaller than the sum of its proper divisors (930477600).

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

340872480 is a wasteful number, since it uses less digits than its factorization.

340872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 340872480 is about 18462.7321921757. The cubic root of 340872480 is about 698.5497047635.

The spelling of 340872480 in words is "three hundred forty million, eight hundred seventy-two thousand, four hundred eighty".