4552248960 has 432 divisors, whose sum is σ = 18431048610. Its totient is φ = 1032321024.

The previous prime is 4552248949. The next prime is 4552248991. The reversal of 4552248960 is 698422554.

4552248960 is a `hidden beast` number, since 4 + 552 + 2 + 4 + 8 + 96 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4097024064 + 455224896 = 64008^2 + 21336^2 .

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 53 ways as a sum of consecutive naturals, for example, 35844417 + ... + 35844543.

Almost surely, 2^4552248960 is an apocalyptic number.

4552248960 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 4552248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9215524305).

4552248960 is an abundant number, since it is smaller than the sum of its proper divisors (13878799650).

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

4552248960 is a wasteful number, since it uses less digits than its factorization.

4552248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 4552248960 is about 67470.3561573525. The cubic root of 4552248960 is about 1657.3287661876.

The spelling of 4552248960 in words is "four billion, five hundred fifty-two million, two hundred forty-eight thousand, nine hundred sixty".