440720352 has 216 divisors, whose sum is σ = 1380460536. Its totient is φ = 138288384.

The previous prime is 440720327. The next prime is 440720377. The reversal of 440720352 is 253027044.

440720352 is a `hidden beast` number, since 4 + 407 + 203 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (440720327) and next prime (440720377).

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2807058 + ... + 2807214.

It is an arithmetic number, because the mean of its divisors is an integer number (6391021).

Almost surely, 2^440720352 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 440720352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690230268).

440720352 is an abundant number, since it is smaller than the sum of its proper divisors (939740184).

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

440720352 is a wasteful number, since it uses less digits than its factorization.

440720352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 440720352 is about 20993.3406584088. The cubic root of 440720352 is about 761.0053362107.

Adding to 440720352 its reverse (253027044), we get a palindrome (693747396).

The spelling of 440720352 in words is "four hundred forty million, seven hundred twenty thousand, three hundred fifty-two".