399466080 has 240 divisors, whose sum is σ = 1518867504. Its totient is φ = 98288640.

The previous prime is 399466073. The next prime is 399466091. The reversal of 399466080 is 80664993.

399466080 is a `hidden beast` number, since 39 + 9 + 4 + 6 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 167295 + ... + 169665.

Almost surely, 2^399466080 is an apocalyptic number.

399466080 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 399466080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759433752).

399466080 is an abundant number, since it is smaller than the sum of its proper divisors (1119401424).

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

399466080 is a wasteful number, since it uses less digits than its factorization.

399466080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2411 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 399466080 is about 19986.6475427972. The cubic root of 399466080 is about 736.4783240745.

The spelling of 399466080 in words is "three hundred ninety-nine million, four hundred sixty-six thousand, eighty".