400010004 has 36 divisors (see below), whose sum is σ = 1012071060. Its totient is φ = 133213440.

The previous prime is 400009999. The next prime is 400010057.

400010004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 2 ways, for example, as 396089604 + 3920400 = 19902^2 + 1980^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39724 + ... + 48764.

It is an arithmetic number, because the mean of its divisors is an integer number (28113085).

Almost surely, 2^400010004 is an apocalyptic number.

It is an amenable number.

400010004 is an abundant number, since it is smaller than the sum of its proper divisors (612061056).

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

400010004 is a wasteful number, since it uses less digits than its factorization.

400010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10280 (or 10275 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 400010004 is about 20000.2500984363. The cubic root of 400010004 is about 736.8124421854.

The spelling of 400010004 in words is "four hundred million, ten thousand, four".