4953984 has 128 divisors (see below), whose sum is σ = 15993600. Its totient is φ = 1327104.

The previous prime is 4953979. The next prime is 4953997. The reversal of 4953984 is 4893594.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (155520) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51024 + ... + 51120.

It is an arithmetic number, because the mean of its divisors is an integer number (124950).

Almost surely, 2^4953984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4953984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7996800).

4953984 is an abundant number, since it is smaller than the sum of its proper divisors (11039616).

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

4953984 is a wasteful number, since it uses less digits than its factorization.

4953984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 128 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 4953984 is about 2225.7547034658. The cubic root of 4953984 is about 170.4714021115.

The spelling of 4953984 in words is "four million, nine hundred fifty-three thousand, nine hundred eighty-four".