4290960480 has 192 divisors, whose sum is σ = 14774151168. Its totient is φ = 1042145280.

The previous prime is 4290960467. The next prime is 4290960491. The reversal of 4290960480 is 840690924.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 244479 + ... + 261441.

It is an arithmetic number, because the mean of its divisors is an integer number (76948704).

Almost surely, 2^4290960480 is an apocalyptic number.

4290960480 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 4290960480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7387075584).

4290960480 is an abundant number, since it is smaller than the sum of its proper divisors (10483190688).

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

4290960480 is a wasteful number, since it uses less digits than its factorization.

4290960480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17029 (or 17021 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4290960480 is about 65505.4232869310. The cubic root of 4290960480 is about 1624.9930388656.

The spelling of 4290960480 in words is "four billion, two hundred ninety million, nine hundred sixty thousand, four hundred eighty".