4426752000 has 448 divisors, whose sum is σ = 16193219328. Its totient is φ = 1064960000.

The previous prime is 4426751983. The next prime is 4426752007. The reversal of 4426752000 is 2576244.

It is a super-2 number, since 2×4426752000² = 39192266539008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4426752007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33791935 + ... + 33792065.

Almost surely, 2^4426752000 is an apocalyptic number.

4426752000 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 4426752000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8096609664).

4426752000 is an abundant number, since it is smaller than the sum of its proper divisors (11766467328).

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

4426752000 is a wasteful number, since it uses less digits than its factorization.

4426752000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 4426752000 is about 66533.8410134271. The cubic root of 4426752000 is about 1641.9568155366.

The spelling of 4426752000 in words is "four billion, four hundred twenty-six million, seven hundred fifty-two thousand".