440768496 has 80 divisors (see below), whose sum is σ = 1305860864. Its totient is φ = 125494272.

The previous prime is 440768473. The next prime is 440768501. The reversal of 440768496 is 694867044.

It is a super-2 number, since 2×440768496² = 388553734132204032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101016 + ... + 105288.

Almost surely, 2^440768496 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 440768496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652930432).

440768496 is an abundant number, since it is smaller than the sum of its proper divisors (865092368).

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

440768496 is a wasteful number, since it uses less digits than its factorization.

440768496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4598 (or 4592 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The square root of 440768496 is about 20994.4872764257. The cubic root of 440768496 is about 761.0330457750.

The spelling of 440768496 in words is "four hundred forty million, seven hundred sixty-eight thousand, four hundred ninety-six".