399510144 has 320 divisors, whose sum is σ = 1350708480. Its totient is φ = 116121600.

The previous prime is 399510121. The next prime is 399510151. The reversal of 399510144 is 441015993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 399510099 and 399510108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3535432 + ... + 3535544.

It is an arithmetic number, because the mean of its divisors is an integer number (4220964).

Almost surely, 2^399510144 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 399510144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675354240).

399510144 is an abundant number, since it is smaller than the sum of its proper divisors (951198336).

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

399510144 is a wasteful number, since it uses less digits than its factorization.

399510144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 399510144 is about 19987.7498483446. The cubic root of 399510144 is about 736.5054027088.

The spelling of 399510144 in words is "three hundred ninety-nine million, five hundred ten thousand, one hundred forty-four".