4253628960 has 144 divisors (see below), whose sum is σ = 16589192256. Its totient is φ = 972255744.

The previous prime is 4253628959. The next prime is 4253628961. The reversal of 4253628960 is 698263524.

4253628960 is a `hidden beast` number, since 4 + 2 + 536 + 28 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4253628959) and next prime (4253628961).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (4253628961) 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, 200914 + ... + 221073.

It is an arithmetic number, because the mean of its divisors is an integer number (115202724).

Almost surely, 2^4253628960 is an apocalyptic number.

4253628960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4253628960 is an abundant number, since it is smaller than the sum of its proper divisors (12335563296).

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

4253628960 is a wasteful number, since it uses less digits than its factorization.

4253628960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422015 (or 422004 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4253628960 is about 65219.8509657911. The cubic root of 4253628960 is about 1620.2668056217.

The spelling of 4253628960 in words is "four billion, two hundred fifty-three million, six hundred twenty-eight thousand, nine hundred sixty".