400370067 has 16 divisors (see below), whose sum is σ = 593582080. Its totient is φ = 266714856.

The previous prime is 400370057. The next prime is 400370099. The reversal of 400370067 is 760073004.

It is not a de Polignac number, because 400370067 - 2¹² = 400365971 is a prime.

It is a super-3 number, since 3×400370067³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 400370067.

It is not an unprimeable number, because it can be changed into a prime (400370057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37578 + ... + 47040.

It is an arithmetic number, because the mean of its divisors is an integer number (37098880).

Almost surely, 2^400370067 is an apocalyptic number.

400370067 is a deficient number, since it is larger than the sum of its proper divisors (193212013).

400370067 is a wasteful number, since it uses less digits than its factorization.

400370067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 11033 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 400370067 is about 20009.2495361520. The cubic root of 400370067 is about 737.0334527717.

The spelling of 400370067 in words is "four hundred million, three hundred seventy thousand, sixty-seven".