440909952 has 128 divisors (see below), whose sum is σ = 1360924800. Its totient is φ = 123863040.

The previous prime is 440909951. The next prime is 440909957. The reversal of 440909952 is 259909044.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (440909951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162624 + ... + 165312.

It is an arithmetic number, because the mean of its divisors is an integer number (10632225).

Almost surely, 2^440909952 is an apocalyptic number.

440909952 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 440909952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680462400).

440909952 is an abundant number, since it is smaller than the sum of its proper divisors (920014848).

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

440909952 is a wasteful number, since it uses less digits than its factorization.

440909952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2774 (or 2762 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 440909952 is about 20997.8558905427. The cubic root of 440909952 is about 761.1144499416.

The spelling of 440909952 in words is "four hundred forty million, nine hundred nine thousand, nine hundred fifty-two".