4264624 has 80 divisors (see below), whose sum is σ = 10624320. Its totient is φ = 1612800.

The previous prime is 4264621. The next prime is 4264627.

4264624 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (4264621) and next prime (4264627).

It is a super-2 number, since 2×4264624² = 36374035722752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 4⁴ + 2²¹ + 6³ + 4⁶ + 6³ + 2²¹ + 4⁸ .

It is a junction number, because it is equal to n+sod(n) for n = 4264592 and 4264601.

It is not an unprimeable number, because it can be changed into a prime (4264621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42174 + ... + 42274.

It is an arithmetic number, because the mean of its divisors is an integer number (132804).

Almost surely, 2^4264624 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 4264624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

4264624 is an abundant number, since it is smaller than the sum of its proper divisors (6359696).

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

4264624 is a wasteful number, since it uses less digits than its factorization.

4264624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its digits is 9216, while the sum is 28.

The square root of 4264624 is about 2065.0966079097. The cubic root of 4264624 is about 162.1661659352.

It can be divided in two parts, 426 and 4624, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 4264624 in words is "four million, two hundred sixty-four thousand, six hundred twenty-four".