4260574080 has 640 divisors, whose sum is σ = 17772480000. Its totient is φ = 952528896.

The previous prime is 4260574069. The next prime is 4260574133. The reversal of 4260574080 is 804750624.

4260574080 is a `hidden beast` number, since 4 + 2 + 6 + 0 + 574 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21409821 + ... + 21410019.

It is an arithmetic number, because the mean of its divisors is an integer number (27769500).

Almost surely, 2^4260574080 is an apocalyptic number.

4260574080 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 4260574080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8886240000).

4260574080 is an abundant number, since it is smaller than the sum of its proper divisors (13511905920).

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

4260574080 is a wasteful number, since it uses less digits than its factorization.

4260574080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 4260574080 is about 65273.0731619096. The cubic root of 4260574080 is about 1621.1481572573.

The spelling of 4260574080 in words is "four billion, two hundred sixty million, five hundred seventy-four thousand, eighty".