440939664 has 180 divisors, whose sum is σ = 1398435792. Its totient is φ = 128620800.

The previous prime is 440939641. The next prime is 440939671. The reversal of 440939664 is 466939044.

It is a happy number.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 1331979 + ... + 1332309.

Almost surely, 2^440939664 is an apocalyptic number.

440939664 is a gapful number since it is divisible by the number (44) 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 440939664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699217896).

440939664 is an abundant number, since it is smaller than the sum of its proper divisors (957496128).

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

440939664 is a wasteful number, since it uses less digits than its factorization.

440939664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 440939664 is about 20998.5633794315. The cubic root of 440939664 is about 761.1315461949.

The spelling of 440939664 in words is "four hundred forty million, nine hundred thirty-nine thousand, six hundred sixty-four".