400413201 has 8 divisors (see below), whose sum is σ = 561983520. Its totient is φ = 252892512.

The previous prime is 400413173. The next prime is 400413229. The reversal of 400413201 is 102314004.

It is an interprime number because it is at equal distance from previous prime (400413173) and next prime (400413229).

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 400413201 - 2⁶ = 400413137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (400413241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3512340 + ... + 3512453.

It is an arithmetic number, because the mean of its divisors is an integer number (70247940).

Almost surely, 2^400413201 is an apocalyptic number.

It is an amenable number.

400413201 is a deficient number, since it is larger than the sum of its proper divisors (161570319).

400413201 is a wasteful number, since it uses less digits than its factorization.

400413201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7024815.

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 400413201 is about 20010.3273586416. The cubic root of 400413201 is about 737.0599200012.

Adding to 400413201 its reverse (102314004), we get a palindrome (502727205).

It can be divided in two parts, 4004 and 13201, that added together give a triangular number (17205 = T₁₈₅).

The spelling of 400413201 in words is "four hundred million, four hundred thirteen thousand, two hundred one".