401472100 has 18 divisors (see below), whose sum is σ = 871194674. Its totient is φ = 160588800.

The previous prime is 401472067. The next prime is 401472131. The reversal of 401472100 is 1274104.

It can be written as a sum of positive squares in 3 ways, for example, as 28132416 + 373339684 = 5304^2 + 19322^2 .

It is a super-2 number, since 2×401472100² = 322359694156820000, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 2007261 + ... + 2007460.

Almost surely, 2^401472100 is an apocalyptic number.

It is an amenable number.

401472100 is an abundant number, since it is smaller than the sum of its proper divisors (469722574).

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

401472100 is a wasteful number, since it uses less digits than its factorization.

401472100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4014735 (or 4014728 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 401472100 is about 20036.7687015646. The cubic root of 401472100 is about 737.7090702866.

The spelling of 401472100 in words is "four hundred one million, four hundred seventy-two thousand, one hundred".