4296948480 has 576 divisors, whose sum is σ = 16953753600. Its totient is φ = 1021870080.

The previous prime is 4296948463. The next prime is 4296948497. The reversal of 4296948480 is 848496924.

4296948480 is a `hidden beast` number, since 4 + 29 + 69 + 484 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (4296948463) and next prime (4296948497).

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

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 63 ways as a sum of consecutive naturals, for example, 33834177 + ... + 33834303.

It is an arithmetic number, because the mean of its divisors is an integer number (29433600).

Almost surely, 2^4296948480 is an apocalyptic number.

4296948480 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 4296948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8476876800).

4296948480 is an abundant number, since it is smaller than the sum of its proper divisors (12656805120).

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

4296948480 is a wasteful number, since it uses less digits than its factorization.

4296948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 4296948480 is about 65551.1134916868. The cubic root of 4296948480 is about 1625.7485756590.

The spelling of 4296948480 in words is "four billion, two hundred ninety-six million, nine hundred forty-eight thousand, four hundred eighty".