440401364 has 24 divisors (see below), whose sum is σ = 832000008. Its totient is φ = 202769280.

The previous prime is 440401349. The next prime is 440401369. The reversal of 440401364 is 463104044.

It can be written as a sum of positive squares in 4 ways, for example, as 42797764 + 397603600 = 6542^2 + 19940^2 .

It is a super-2 number, since 2×440401364² = 387906722826120992, which contains 22 as substring.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440401369) 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, 11834 + ... + 31950.

It is an arithmetic number, because the mean of its divisors is an integer number (34666667).

Almost surely, 2^440401364 is an apocalyptic number.

It is an amenable number.

440401364 is a deficient number, since it is larger than the sum of its proper divisors (391598644).

440401364 is a wasteful number, since it uses less digits than its factorization.

440401364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20555 (or 20553 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 440401364 is about 20985.7419216000. The cubic root of 440401364 is about 760.8216897786.

The spelling of 440401364 in words is "four hundred forty million, four hundred one thousand, three hundred sixty-four".