4464399240 has 320 divisors, whose sum is σ = 18159292800. Its totient is φ = 960325632.

The previous prime is 4464399217. The next prime is 4464399259. The reversal of 4464399240 is 429934644.

It is a super-2 number, since 2×4464399240² = 39861721148225155200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 379771 + ... + 391349.

It is an arithmetic number, because the mean of its divisors is an integer number (56747790).

Almost surely, 2^4464399240 is an apocalyptic number.

4464399240 is a gapful number since it is divisible by the number (40) 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 4464399240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9079646400).

4464399240 is an abundant number, since it is smaller than the sum of its proper divisors (13694893560).

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

4464399240 is a wasteful number, since it uses less digits than its factorization.

4464399240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11626 (or 11613 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The square root of 4464399240 is about 66816.1600213601. The cubic root of 4464399240 is about 1646.5983473179.

The spelling of 4464399240 in words is "four billion, four hundred sixty-four million, three hundred ninety-nine thousand, two hundred forty".