440798436 has 120 divisors (see below), whose sum is σ = 1249121720. Its totient is φ = 134742528.

The previous prime is 440798431. The next prime is 440798447. The reversal of 440798436 is 634897044.

It can be written as a sum of positive squares in 4 ways, for example, as 166564836 + 274233600 = 12906^2 + 16560^2 .

It is a super-2 number, since 2×440798436² = 388606522360092192, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 440798391 and 440798400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440798431) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 964320 + ... + 964776.

Almost surely, 2^440798436 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 440798436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624560860).

440798436 is an abundant number, since it is smaller than the sum of its proper divisors (808323284).

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

440798436 is a wasteful number, since it uses less digits than its factorization.

440798436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 440798436 is about 20995.2003086420. The cubic root of 440798436 is about 761.0502769018.

The spelling of 440798436 in words is "four hundred forty million, seven hundred ninety-eight thousand, four hundred thirty-six".