4004624 has 30 divisors (see below), whose sum is σ = 8407386. Its totient is φ = 1847040.

The previous prime is 4004617. The next prime is 4004629. The reversal of 4004624 is 4264004.

4004624 = 62² + 63² + ... + 230².

It can be written as a sum of positive squares in 3 ways, for example, as 4624 + 4000000 = 68^2 + 2000^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4004596 and 4004605.

It is not an unprimeable number, because it can be changed into a prime (4004629) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1964 + ... + 3444.

Almost surely, 2^4004624 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 4004624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4203693).

4004624 is an abundant number, since it is smaller than the sum of its proper divisors (4402762).

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

4004624 is a wasteful number, since it uses less digits than its factorization.

4004624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 4004624 is about 2001.1556661090. The cubic root of 4004624 is about 158.8012494958.

Adding to 4004624 its reverse (4264004), we get a palindrome (8268628).

It can be divided in two parts, 400 and 4624, that multiplied together give a square (1849600 = 1360²).

The spelling of 4004624 in words is "four million, four thousand, six hundred twenty-four".