4005393480 has 192 divisors, whose sum is σ = 14328213120. Its totient is φ = 962304000.

The previous prime is 4005393473. The next prime is 4005393517. The reversal of 4005393480 is 843935004.

4005393480 is a `hidden beast` number, since 40 + 0 + 53 + 93 + 480 = 666.

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

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, 443005 + ... + 451955.

It is an arithmetic number, because the mean of its divisors is an integer number (74626110).

Almost surely, 2^4005393480 is an apocalyptic number.

4005393480 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 4005393480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7164106560).

4005393480 is an abundant number, since it is smaller than the sum of its proper divisors (10322819640).

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

4005393480 is a wasteful number, since it uses less digits than its factorization.

4005393480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9092 (or 9085 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 4005393480 is about 63288.1780429805. The cubic root of 4005393480 is about 1588.1141995207.

The spelling of 4005393480 in words is "four billion, five million, three hundred ninety-three thousand, four hundred eighty".