399542408460 has 192 divisors, whose sum is σ = 1346854172160. Its totient is φ = 97745253120.

The previous prime is 399542408413. The next prime is 399542408467. The reversal of 399542408460 is 64804245993.

399542408460 is a `hidden beast` number, since 3 + 99 + 54 + 2 + 40 + 8 + 460 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 399542408397 and 399542408406.

It is not an unprimeable number, because it can be changed into a prime (399542408467) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 969675 + ... + 1318845.

It is an arithmetic number, because the mean of its divisors is an integer number (7014865480).

Almost surely, 2^399542408460 is an apocalyptic number.

399542408460 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 399542408460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673427086080).

399542408460 is an abundant number, since it is smaller than the sum of its proper divisors (947311763700).

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

399542408460 is a wasteful number, since it uses less digits than its factorization.

399542408460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349365 (or 349357 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 399542408460 in words is "three hundred ninety-nine billion, five hundred forty-two million, four hundred eight thousand, four hundred sixty".