399766080 has 448 divisors, whose sum is σ = 1591787520. Its totient is φ = 82944000.

The previous prime is 399766069. The next prime is 399766091. The reversal of 399766080 is 80667993.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (399766069) and next prime (399766091).

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1010 × 434 × 912.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3958030 + ... + 3958130.

Almost surely, 2^399766080 is an apocalyptic number.

399766080 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 399766080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (795893760).

399766080 is an abundant number, since it is smaller than the sum of its proper divisors (1192021440).

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

399766080 is a wasteful number, since it uses less digits than its factorization.

399766080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 399766080 is about 19994.1511447723. The cubic root of 399766080 is about 736.6626436130.

It can be divided in two parts, 39976 and 6080, that added together give a triangular number (46056 = T₃₀₃).

The spelling of 399766080 in words is "three hundred ninety-nine million, seven hundred sixty-six thousand, eighty".