400432401 has 12 divisors (see below), whose sum is σ = 587036112. Its totient is φ = 262970136.

The previous prime is 400432387. The next prime is 400432423. The reversal of 400432401 is 104234004.

It is not a de Polignac number, because 400432401 - 2¹¹ = 400430353 is a prime.

It is a super-3 number, since 3×400432401³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (400432601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331431 + ... + 332636.

It is an arithmetic number, because the mean of its divisors is an integer number (48919676).

Almost surely, 2^400432401 is an apocalyptic number.

It is an amenable number.

400432401 is a deficient number, since it is larger than the sum of its proper divisors (186603711).

400432401 is a wasteful number, since it uses less digits than its factorization.

400432401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 664140 (or 664137 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 400432401 is about 20010.8071051620. The cubic root of 400432401 is about 737.0717006020.

Adding to 400432401 its reverse (104234004), we get a palindrome (504666405).

The spelling of 400432401 in words is "four hundred million, four hundred thirty-two thousand, four hundred one".