399450240 has 192 divisors, whose sum is σ = 1576560960. Its totient is φ = 91293696.

The previous prime is 399450209. The next prime is 399450257. The reversal of 399450240 is 42054993.

It is a tau number, because it is divible by the number of its divisors (192).

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 = 399450195 and 399450204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35367 + ... + 45273.

It is an arithmetic number, because the mean of its divisors is an integer number (8211255).

Almost surely, 2^399450240 is an apocalyptic number.

399450240 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 399450240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788280480).

399450240 is an abundant number, since it is smaller than the sum of its proper divisors (1177110720).

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

399450240 is a wasteful number, since it uses less digits than its factorization.

399450240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9939 (or 9924 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 399450240 is about 19986.2512743135. The cubic root of 399450240 is about 736.4685894383.

The spelling of 399450240 in words is "three hundred ninety-nine million, four hundred fifty thousand, two hundred forty".