400424004 has 18 divisors (see below), whose sum is σ = 1012182990. Its totient is φ = 133474656.

The previous prime is 400423979. The next prime is 400424023.

It is a happy number.

400424004 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 396806400 + 3617604 = 19920^2 + 1902^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5561409 + ... + 5561480.

Almost surely, 2^400424004 is an apocalyptic number.

It is an amenable number.

400424004 is an abundant number, since it is smaller than the sum of its proper divisors (611758986).

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

400424004 is a wasteful number, since it uses less digits than its factorization.

400424004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11122899 (or 11122894 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 400424004 is about 20010.5972924348. The cubic root of 400424004 is about 737.0665484762.

The spelling of 400424004 in words is "four hundred million, four hundred twenty-four thousand, four".