4284624960 has 504 divisors, whose sum is σ = 18506943936. Its totient is φ = 883906560.

The previous prime is 4284624947. The next prime is 4284624973. The reversal of 4284624960 is 694264824.

It is an interprime number because it is at equal distance from previous prime (4284624947) and next prime (4284624973).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×4284624960² = 36716022095710003200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30824571 + ... + 30824709.

Almost surely, 2^4284624960 is an apocalyptic number.

4284624960 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 4284624960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9253471968).

4284624960 is an abundant number, since it is smaller than the sum of its proper divisors (14222318976).

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

4284624960 is a wasteful number, since it uses less digits than its factorization.

4284624960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4284624960 is about 65457.0466794829. The cubic root of 4284624960 is about 1624.1928880228.

The spelling of 4284624960 in words is "four billion, two hundred eighty-four million, six hundred twenty-four thousand, nine hundred sixty".