4952960 has 64 divisors (see below), whose sum is σ = 12117600. Its totient is φ = 1935360.

The previous prime is 4952957. The next prime is 4952971. The reversal of 4952960 is 692594.

It is a tau number, because it is divible by the number of its divisors (64).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 4952960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45386 + ... + 45494.

Almost surely, 2^4952960 is an apocalyptic number.

4952960 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 4952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6058800).

4952960 is an abundant number, since it is smaller than the sum of its proper divisors (7164640).

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

4952960 is a wasteful number, since it uses less digits than its factorization.

4952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 4952960 is about 2225.5246572438. The cubic root of 4952960 is about 170.4596556906.

The spelling of 4952960 in words is "four million, nine hundred fifty-two thousand, nine hundred sixty".