4469437440 has 440 divisors, whose sum is σ = 17268737640. Its totient is φ = 1098842112.

The previous prime is 4469437409. The next prime is 4469437481. The reversal of 4469437440 is 447349644.

It can be written as a sum of positive squares in 4 ways, for example, as 119771136 + 4349666304 = 10944^2 + 65952^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5390946 + ... + 5391774.

It is an arithmetic number, because the mean of its divisors is an integer number (39247131).

Almost surely, 2^4469437440 is an apocalyptic number.

4469437440 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 4469437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8634368820).

4469437440 is an abundant number, since it is smaller than the sum of its proper divisors (12799300200).

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

4469437440 is a wasteful number, since it uses less digits than its factorization.

4469437440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The square root of 4469437440 is about 66853.8513475477. The cubic root of 4469437440 is about 1647.2175252921.

The spelling of 4469437440 in words is "four billion, four hundred sixty-nine million, four hundred thirty-seven thousand, four hundred forty".