399954960 has 240 divisors, whose sum is σ = 1403910144. Its totient is φ = 101956608.

The previous prime is 399954953. The next prime is 399954967. The reversal of 399954960 is 69459993.

399954960 is a `hidden beast` number, since 3 + 9 + 99 + 549 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (399954953) and next prime (399954967).

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 399954897 and 399954906.

It is not an unprimeable number, because it can be changed into a prime (399954967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1793409 + ... + 1793631.

Almost surely, 2^399954960 is an apocalyptic number.

399954960 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 399954960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

399954960 is an abundant number, since it is smaller than the sum of its proper divisors (1003955184).

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

399954960 is a wasteful number, since it uses less digits than its factorization.

399954960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 342 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 2361960, while the sum is 54.

The square root of 399954960 is about 19998.8739683013. The cubic root of 399954960 is about 736.7786438936.

The spelling of 399954960 in words is "three hundred ninety-nine million, nine hundred fifty-four thousand, nine hundred sixty".