4297950720 has 840 divisors, whose sum is σ = 18355369824. Its totient is φ = 961486848.

The previous prime is 4297950719. The next prime is 4297950721. The reversal of 4297950720 is 270597924.

It is an interprime number because it is at equal distance from previous prime (4297950719) and next prime (4297950721).

It is a tau number, because it is divible by the number of its divisors (840).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4297950721) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 91445737 + ... + 91445783.

Almost surely, 2^4297950720 is an apocalyptic number.

4297950720 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 4297950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177684912).

4297950720 is an abundant number, since it is smaller than the sum of its proper divisors (14057419104).

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

4297950720 is an frugal number, since it uses more digits than its factorization.

4297950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 4297950720 is about 65558.7577673647. The cubic root of 4297950720 is about 1625.8749648547.

The spelling of 4297950720 in words is "four billion, two hundred ninety-seven million, nine hundred fifty thousand, seven hundred twenty".