4492414080 has 576 divisors, whose sum is σ = 19699692480. Its totient is φ = 932843520.

The previous prime is 4492414063. The next prime is 4492414081. The reversal of 4492414080 is 804142944.

4492414080 is a `hidden beast` number, since 4 + 4 + 9 + 241 + 408 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (4492414081) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3103917 + ... + 3105363.

It is an arithmetic number, because the mean of its divisors is an integer number (34200855).

Almost surely, 2^4492414080 is an apocalyptic number.

4492414080 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 4492414080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849846240).

4492414080 is an abundant number, since it is smaller than the sum of its proper divisors (15207278400).

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

4492414080 is a wasteful number, since it uses less digits than its factorization.

4492414080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1497 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 4492414080 is about 67025.4733664746. The cubic root of 4492414080 is about 1650.0353931802.

The spelling of 4492414080 in words is "four billion, four hundred ninety-two million, four hundred fourteen thousand, eighty".