4254726960 has 320 divisors, whose sum is σ = 16065400320. Its totient is φ = 1026432000.

The previous prime is 4254726941. The next prime is 4254726991. The reversal of 4254726960 is 696274524.

4254726960 is a `hidden beast` number, since 42 + 547 + 2 + 6 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7864290 + ... + 7864830.

It is an arithmetic number, because the mean of its divisors is an integer number (50204376).

Almost surely, 2^4254726960 is an apocalyptic number.

4254726960 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 4254726960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8032700160).

4254726960 is an abundant number, since it is smaller than the sum of its proper divisors (11810673360).

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

4254726960 is a wasteful number, since it uses less digits than its factorization.

4254726960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 893 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 4254726960 is about 65228.2681051705. The cubic root of 4254726960 is about 1620.4062081502.

The spelling of 4254726960 in words is "four billion, two hundred fifty-four million, seven hundred twenty-six thousand, nine hundred sixty".