400505444 has 24 divisors (see below), whose sum is σ = 707427000. Its totient is φ = 198391040.

The previous prime is 400505437. The next prime is 400505477. The reversal of 400505444 is 444505004.

It can be written as a sum of positive squares in 4 ways, for example, as 22202944 + 378302500 = 4712^2 + 19450^2 .

It is a super-4 number, since 4×400505444⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338534 + ... + 339714.

It is an arithmetic number, because the mean of its divisors is an integer number (29476125).

Almost surely, 2^400505444 is an apocalyptic number.

It is an amenable number.

400505444 is a deficient number, since it is larger than the sum of its proper divisors (306921556).

400505444 is a wasteful number, since it uses less digits than its factorization.

400505444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

The square root of 400505444 is about 20012.6321107445. The cubic root of 400505444 is about 737.1165143708.

The spelling of 400505444 in words is "four hundred million, five hundred five thousand, four hundred forty-four".