391780480 has 288 divisors, whose sum is σ = 1212393420. Its totient is φ = 119992320.

The previous prime is 391780463. The next prime is 391780483. The reversal of 391780480 is 84087193.

It can be written as a sum of positive squares in 2 ways, for example, as 364657216 + 27123264 = 19096^2 + 5208^2 .

It is a super-3 number, since 3×391780480³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (391780483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12638065 + ... + 12638095.

Almost surely, 2^391780480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 391780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (606196710).

391780480 is an abundant number, since it is smaller than the sum of its proper divisors (820612940).

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

391780480 is a wasteful number, since it uses less digits than its factorization.

391780480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 391780480 is about 19793.4453797210. The cubic root of 391780480 is about 731.7245024155.

The spelling of 391780480 in words is "three hundred ninety-one million, seven hundred eighty thousand, four hundred eighty".