399960001 has 9 divisors (see below), whose sum is σ = 465422499. Its totient is φ = 342702864.

The previous prime is 399959983. The next prime is 399960007. The reversal of 399960001 is 100069993.

The square root of 399960001 is 19999.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 269452225 + 130507776 = 16415^2 + 11424^2 .

It is not a de Polignac number, because 399960001 - 2¹⁵ = 399927233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (399960007) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 138565 + ... + 141421.

It is an arithmetic number, because the mean of its divisors is an integer number (51713611).

Almost surely, 2^399960001 is an apocalyptic number.

399960001 is the 19999-th square number.

399960001 is the 10000-th centered octagonal number.

It is an amenable number.

399960001 is a deficient number, since it is larger than the sum of its proper divisors (65462498).

399960001 is an frugal number, since it uses more digits than its factorization.

399960001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 2864 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 37.

The cubic root of 399960001 is about 736.7817393134.

It can be divided in two parts, 3999 and 60001, that added together give a cube (64000 = 40³).

The spelling of 399960001 in words is "three hundred ninety-nine million, nine hundred sixty thousand, one".