52424000 has 56 divisors (see below), whose sum is σ = 129847848. Its totient is φ = 20966400.

The previous prime is 52423997. The next prime is 52424003. The reversal of 52424000 is 42425.

It is an interprime number because it is at equal distance from previous prime (52423997) and next prime (52424003).

It can be written as a sum of positive squares in 4 ways, for example, as 4426816 + 47997184 = 2104^2 + 6928^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 52424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52424003) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4724 + ... + 11276.

Almost surely, 2^52424000 is an apocalyptic number.

52424000 is a gapful number since it is divisible by the number (50) 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 52424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64923924).

52424000 is an abundant number, since it is smaller than the sum of its proper divisors (77423848).

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

52424000 is an equidigital number, since it uses as much as digits as its factorization.

52424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6560 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 52424000 is about 7240.4419754598. The cubic root of 52424000 is about 374.2628481984.

Subtracting from 52424000 its product of nonzero digits (320), we obtain a triangular number (52423680 = T₁₀₂₃₉).

Adding to 52424000 its reverse (42425), we get a palindrome (52466425).

The spelling of 52424000 in words is "fifty-two million, four hundred twenty-four thousand".