4467294720 has 480 divisors, whose sum is σ = 18472924800. Its totient is φ = 1020321792.

The previous prime is 4467294719. The next prime is 4467294757. The reversal of 4467294720 is 274927644.

It is a tau number, because it is divible by the number of its divisors (480).

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 47 ways as a sum of consecutive naturals, for example, 3386221 + ... + 3387539.

It is an arithmetic number, because the mean of its divisors is an integer number (38485260).

Almost surely, 2^4467294720 is an apocalyptic number.

4467294720 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 4467294720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9236462400).

4467294720 is an abundant number, since it is smaller than the sum of its proper divisors (14005630080).

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

4467294720 is a wasteful number, since it uses less digits than its factorization.

4467294720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 4467294720 is about 66837.8240220311. The cubic root of 4467294720 is about 1646.9542490468.

The spelling of 4467294720 in words is "four billion, four hundred sixty-seven million, two hundred ninety-four thousand, seven hundred twenty".