401553073 has 12 divisors (see below), whose sum is σ = 430818012. Its totient is φ = 374163200.

The previous prime is 401553059. The next prime is 401553079. The reversal of 401553073 is 370355104.

It can be written as a sum of positive squares in 6 ways, for example, as 34715664 + 366837409 = 5892^2 + 19153^2 .

It is not a de Polignac number, because 401553073 - 2⁵ = 401553041 is a prime.

It is a super-2 number, since 2×401553073² = 322489740871486658, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401553079) 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 11 ways as a sum of consecutive naturals, for example, 22311 + ... + 36067.

It is an arithmetic number, because the mean of its divisors is an integer number (35901501).

Almost surely, 2^401553073 is an apocalyptic number.

It is an amenable number.

401553073 is a deficient number, since it is larger than the sum of its proper divisors (29264939).

401553073 is a wasteful number, since it uses less digits than its factorization.

401553073 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13892 (or 13875 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 28.

The square root of 401553073 is about 20038.7892099298. The cubic root of 401553073 is about 737.7586631898.

The spelling of 401553073 in words is "four hundred one million, five hundred fifty-three thousand, seventy-three".