440521416 has 80 divisors (see below), whose sum is σ = 1236995100. Its totient is φ = 146468736.

The previous prime is 440521409. The next prime is 440521423. The reversal of 440521416 is 614125044.

440521416 is a `hidden beast` number, since 440 + 5 + 214 + 1 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (440521409) and next prime (440521423).

It can be written as a sum of positive squares in 2 ways, for example, as 260693316 + 179828100 = 16146^2 + 13410^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 440521416.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 396670 + ... + 397778.

Almost surely, 2^440521416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440521416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618497550).

440521416 is an abundant number, since it is smaller than the sum of its proper divisors (796473684).

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

440521416 is a wasteful number, since it uses less digits than its factorization.

440521416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1740 (or 1727 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 440521416 is about 20988.6020496840. The cubic root of 440521416 is about 760.8908160156.

The spelling of 440521416 in words is "four hundred forty million, five hundred twenty-one thousand, four hundred sixteen".