4967424 has 198 divisors, whose sum is σ = 18201924. Its totient is φ = 1290240.

The previous prime is 4967423. The next prime is 4967449. The reversal of 4967424 is 4247694.

It is a tau number, because it is divible by the number of its divisors (198).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4967423) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 451579 + ... + 451589.

Almost surely, 2^4967424 is an apocalyptic number.

4967424 is a gapful number since it is divisible by the number (44) 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 4967424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100962).

4967424 is an abundant number, since it is smaller than the sum of its proper divisors (13234500).

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

4967424 is a wasteful number, since it uses less digits than its factorization.

4967424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51 (or 23 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 4967424 is about 2228.7718591188. The cubic root of 4967424 is about 170.6254240621.

The spelling of 4967424 in words is "four million, nine hundred sixty-seven thousand, four hundred twenty-four".