4005457920 has 312 divisors, whose sum is σ = 14352204672. Its totient is φ = 1032192000.

The previous prime is 4005457919. The next prime is 4005457927. The reversal of 4005457920 is 297545004.

4005457920 is a `hidden beast` number, since 40 + 0 + 545 + 79 + 2 + 0 = 666.

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 (4005457927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5713570 + ... + 5714270.

It is an arithmetic number, because the mean of its divisors is an integer number (46000656).

Almost surely, 2^4005457920 is an apocalyptic number.

4005457920 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 4005457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7176102336).

4005457920 is an abundant number, since it is smaller than the sum of its proper divisors (10346746752).

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

4005457920 is a wasteful number, since it uses less digits than its factorization.

4005457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 4005457920 is about 63288.6871407521. The cubic root of 4005457920 is about 1588.1227161647.

The spelling of 4005457920 in words is "four billion, five million, four hundred fifty-seven thousand, nine hundred twenty".