4298890752 has 320 divisors, whose sum is σ = 14436576000. Its totient is φ = 1252122624.

The previous prime is 4298890723. The next prime is 4298890763. The reversal of 4298890752 is 2570988924.

4298890752 is a `hidden beast` number, since 429 + 88 + 90 + 7 + 52 = 666.

It is a super-4 number, since 4×4298890752⁴ (a number of 40 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3413899 + ... + 3415157.

It is an arithmetic number, because the mean of its divisors is an integer number (45114300).

Almost surely, 2^4298890752 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4298890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7218288000).

4298890752 is an abundant number, since it is smaller than the sum of its proper divisors (10137685248).

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

4298890752 is a wasteful number, since it uses less digits than its factorization.

4298890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4298890752 is about 65565.9267607803. The cubic root of 4298890752 is about 1625.9934913480.

The spelling of 4298890752 in words is "four billion, two hundred ninety-eight million, eight hundred ninety thousand, seven hundred fifty-two".