399228480 has 672 divisors, whose sum is σ = 1751258880. Its totient is φ = 85155840.

The previous prime is 399228421. The next prime is 399228541. The reversal of 399228480 is 84822993.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×399228480² = 318766758486220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9737260 + ... + 9737300.

It is an arithmetic number, because the mean of its divisors is an integer number (2606040).

Almost surely, 2^399228480 is an apocalyptic number.

399228480 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 399228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (875629440).

399228480 is an abundant number, since it is smaller than the sum of its proper divisors (1352030400).

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

399228480 is a wasteful number, since it uses less digits than its factorization.

399228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 399228480 is about 19980.7026903460. The cubic root of 399228480 is about 736.3322775023.

The spelling of 399228480 in words is "three hundred ninety-nine million, two hundred twenty-eight thousand, four hundred eighty".