4467404160 has 384 divisors, whose sum is σ = 16729558560. Its totient is φ = 1094123520.

The previous prime is 4467404153. The next prime is 4467404167. The reversal of 4467404160 is 614047644.

It is an interprime number because it is at equal distance from previous prime (4467404153) and next prime (4467404167).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4467404167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4210030 + ... + 4211090.

Almost surely, 2^4467404160 is an apocalyptic number.

4467404160 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 4467404160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364779280).

4467404160 is an abundant number, since it is smaller than the sum of its proper divisors (12262154400).

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

4467404160 is a wasteful number, since it uses less digits than its factorization.

4467404160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 4467404160 is about 66838.6427151240. The cubic root of 4467404160 is about 1646.9676979917.

The spelling of 4467404160 in words is "four billion, four hundred sixty-seven million, four hundred four thousand, one hundred sixty".