400420401 has 16 divisors (see below), whose sum is σ = 559997184. Its totient is φ = 254202624.

The previous prime is 400420399. The next prime is 400420411. The reversal of 400420401 is 104024004.

It is not a de Polignac number, because 400420401 - 2¹ = 400420399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400420411) 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 15 ways as a sum of consecutive naturals, for example, 33160 + ... + 43593.

It is an arithmetic number, because the mean of its divisors is an integer number (34999824).

Almost surely, 2^400420401 is an apocalyptic number.

It is an amenable number.

400420401 is a deficient number, since it is larger than the sum of its proper divisors (159576783).

400420401 is a wasteful number, since it uses less digits than its factorization.

400420401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76840.

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 400420401 is about 20010.5072649346. The cubic root of 400420401 is about 737.0643377706.

Adding to 400420401 its reverse (104024004), we get a palindrome (504444405).

The spelling of 400420401 in words is "four hundred million, four hundred twenty thousand, four hundred one".