4259748960 has 96 divisors (see below), whose sum is σ = 14909136480. Its totient is φ = 1135931904.

The previous prime is 4259748953. The next prime is 4259749027. The reversal of 4259748960 is 698479524.

4259748960 is a `hidden beast` number, since 4 + 2 + 597 + 48 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4259748960² = 36290922404442163200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 4259748897 and 4259748906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 488707 + ... + 497346.

It is an arithmetic number, because the mean of its divisors is an integer number (155303505).

Almost surely, 2^4259748960 is an apocalyptic number.

4259748960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4259748960 is an abundant number, since it is smaller than the sum of its proper divisors (10649387520).

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

4259748960 is a wasteful number, since it uses less digits than its factorization.

4259748960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986077 (or 986063 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4259748960 is about 65266.7523322557. The cubic root of 4259748960 is about 1621.0434977988.

The spelling of 4259748960 in words is "four billion, two hundred fifty-nine million, seven hundred forty-eight thousand, nine hundred sixty".