4624000 has 96 divisors (see below), whose sum is σ = 12212460. Its totient is φ = 1740800.

The previous prime is 4623967. The next prime is 4624003. The reversal of 4624000 is 4264.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 968256 + 3655744 = 984^2 + 1912^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (4624003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 271992 + ... + 272008.

Almost surely, 2^4624000 is an apocalyptic number.

4624000 is a gapful number since it is divisible by the number (40) 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 4624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106230).

4624000 is an abundant number, since it is smaller than the sum of its proper divisors (7588460).

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

4624000 is an equidigital number, since it uses as much as digits as its factorization.

4624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 4624000 is about 2150.3488089145. The cubic root of 4624000 is about 166.5990837101.

Adding to 4624000 its reverse (4264), we get a palindrome (4628264).

The spelling of 4624000 in words is "four million, six hundred twenty-four thousand".