400029973 has 24 divisors (see below), whose sum is σ = 484169400. Its totient is φ = 329148288.

The previous prime is 400029967. The next prime is 400029997. The reversal of 400029973 is 379920004.

It can be written as a sum of positive squares in 4 ways, for example, as 80407089 + 319622884 = 8967^2 + 17878^2 .

It is not a de Polignac number, because 400029973 - 2¹⁷ = 399898901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400029943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279223 + ... + 280651.

It is an arithmetic number, because the mean of its divisors is an integer number (20173725).

Almost surely, 2^400029973 is an apocalyptic number.

It is an amenable number.

400029973 is a deficient number, since it is larger than the sum of its proper divisors (84139427).

400029973 is a wasteful number, since it uses less digits than its factorization.

400029973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 34.

The square root of 400029973 is about 20000.7493109633. The cubic root of 400029973 is about 736.8247028478.

Adding to 400029973 its reverse (379920004), we get a palindrome (779949977).

The spelling of 400029973 in words is "four hundred million, twenty-nine thousand, nine hundred seventy-three".