4956424 has 32 divisors (see below), whose sum is σ = 10232640. Its totient is φ = 2232000.

The previous prime is 4956389. The next prime is 4956437. The reversal of 4956424 is 4246594.

It is a super-3 number, since 3×4956424³ (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 4956424.

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, 13102 + ... + 13474.

It is an arithmetic number, because the mean of its divisors is an integer number (319770).

Almost surely, 2^4956424 is an apocalyptic number.

4956424 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 4956424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5116320).

4956424 is an abundant number, since it is smaller than the sum of its proper divisors (5276216).

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

4956424 is a wasteful number, since it uses less digits than its factorization.

4956424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 537 counting only the distinct ones).

The product of its digits is 34560, while the sum is 34.

The square root of 4956424 is about 2226.3027646751. The cubic root of 4956424 is about 170.4993851080.

It can be divided in two parts, 49 and 56424, that multiplied together give a triangular number (2764776 = T₂₃₅₁).

The spelling of 4956424 in words is "four million, nine hundred fifty-six thousand, four hundred twenty-four".