413772444 has 18 divisors (see below), whose sum is σ = 1045924880. Its totient is φ = 137924136.

The previous prime is 413772433. The next prime is 413772449. The reversal of 413772444 is 444277314.

It is a happy number.

413772444 is a `hidden beast` number, since 41 + 377 + 244 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11493679 = 413772444 / (4 + 1 + 3 + 7 + 7 + 2 + 4 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 413772399 and 413772408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413772449) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5746804 + ... + 5746875.

Almost surely, 2^413772444 is an apocalyptic number.

It is an amenable number.

413772444 is an abundant number, since it is smaller than the sum of its proper divisors (632152436).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

413772444 is a wasteful number, since it uses less digits than its factorization.

413772444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11493689 (or 11493684 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 413772444 is about 20341.3972971377. The cubic root of 413772444 is about 745.1674136926.

The spelling of 413772444 in words is "four hundred thirteen million, seven hundred seventy-two thousand, four hundred forty-four".