4704960 has 168 divisors, whose sum is σ = 16733520. Its totient is φ = 1118208.

The previous prime is 4704929. The next prime is 4705007. The reversal of 4704960 is 694074.

4704960 = T₃₅₁ + T₃₅₂ + ... + T₄₁₄.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162226 + ... + 162254.

Almost surely, 2^4704960 is an apocalyptic number.

4704960 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 4704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8366760).

4704960 is an abundant number, since it is smaller than the sum of its proper divisors (12028560).

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

4704960 is a wasteful number, since it uses less digits than its factorization.

4704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 4704960 is about 2169.0919759199. The cubic root of 4704960 is about 167.5657720463.

The spelling of 4704960 in words is "four million, seven hundred four thousand, nine hundred sixty".