4246272000 has 576 divisors, whose sum is σ = 16277133600. Its totient is φ = 1061683200.

The previous prime is 4246271993. The next prime is 4246272001. The reversal of 4246272000 is 2726424.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4246272001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43775952 + ... + 43776048.

Almost surely, 2^4246272000 is an apocalyptic number.

4246272000 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 4246272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8138566800).

4246272000 is an abundant number, since it is smaller than the sum of its proper divisors (12030861600).

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

4246272000 is a wasteful number, since it uses less digits than its factorization.

4246272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 4246272000 is about 65163.4253243336. The cubic root of 4246272000 is about 1619.3321435479.

Adding to 4246272000 its reverse (2726424), we get a palindrome (4248998424).

The spelling of 4246272000 in words is "four billion, two hundred forty-six million, two hundred seventy-two thousand".