4959920 has 80 divisors (see below), whose sum is σ = 13981248. Its totient is φ = 1597440.

The previous prime is 4959919. The next prime is 4959923. The reversal of 4959920 is 299594.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (4959923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9260 + ... + 9780.

Almost surely, 2^4959920 is an apocalyptic number.

4959920 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 4959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6990624).

4959920 is an abundant number, since it is smaller than the sum of its proper divisors (9021328).

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

4959920 is a wasteful number, since it uses less digits than its factorization.

4959920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 38.

The square root of 4959920 is about 2227.0877845294. The cubic root of 4959920 is about 170.5394627769.

The spelling of 4959920 in words is "four million, nine hundred fifty-nine thousand, nine hundred twenty".