440487432 has 288 divisors, whose sum is σ = 1553610240. Its totient is φ = 110246400.

The previous prime is 440487427. The next prime is 440487449. The reversal of 440487432 is 234784044.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1890388 + ... + 1890620.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^440487432 is an apocalyptic number.

440487432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 440487432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (776805120).

440487432 is an abundant number, since it is smaller than the sum of its proper divisors (1113122808).

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

440487432 is a wasteful number, since it uses less digits than its factorization.

440487432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 36.

The square root of 440487432 is about 20987.7924518040. The cubic root of 440487432 is about 760.8712492193.

The spelling of 440487432 in words is "four hundred forty million, four hundred eighty-seven thousand, four hundred thirty-two".