736400444 has 24 divisors (see below), whose sum is σ = 1414022400. Its totient is φ = 333463104.

The previous prime is 736400437. The next prime is 736400449. The reversal of 736400444 is 444004637.

736400444 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×736400444² = 1084571227846794272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 736400444.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (736400449) 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, 130844 + ... + 136355.

It is an arithmetic number, because the mean of its divisors is an integer number (58917600).

Almost surely, 2^736400444 is an apocalyptic number.

It is an amenable number.

736400444 is a deficient number, since it is larger than the sum of its proper divisors (677621956).

736400444 is a wasteful number, since it uses less digits than its factorization.

736400444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267269 (or 267267 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 32.

The square root of 736400444 is about 27136.6992097418. The cubic root of 736400444 is about 903.0352026377.

The spelling of 736400444 in words is "seven hundred thirty-six million, four hundred thousand, four hundred forty-four".