4295209464 has 768 divisors, whose sum is σ = 16547328000. Its totient is φ = 1018967040.

The previous prime is 4295209427. The next prime is 4295209481. The reversal of 4295209464 is 4649025924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81041662 + ... + 81041714.

It is an arithmetic number, because the mean of its divisors is an integer number (21546000).

Almost surely, 2^4295209464 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 4295209464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8273664000).

4295209464 is an abundant number, since it is smaller than the sum of its proper divisors (12252118536).

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

4295209464 is a wasteful number, since it uses less digits than its factorization.

4295209464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 4295209464 is about 65537.8475691718. The cubic root of 4295209464 is about 1625.5292274182.

The spelling of 4295209464 in words is "four billion, two hundred ninety-five million, two hundred nine thousand, four hundred sixty-four".