52641400 has 96 divisors (see below), whose sum is σ = 147312000. Its totient is φ = 17089920.

The previous prime is 52641397. The next prime is 52641403. The reversal of 52641400 is 414625.

It is an interprime number because it is at equal distance from previous prime (52641397) and next prime (52641403).

It is a super-2 number, since 2×52641400² = 5542233987920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52641403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25611 + ... + 27589.

It is an arithmetic number, because the mean of its divisors is an integer number (1534500).

Almost surely, 2^52641400 is an apocalyptic number.

52641400 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 52641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73656000).

52641400 is an abundant number, since it is smaller than the sum of its proper divisors (94670600).

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

52641400 is a wasteful number, since it uses less digits than its factorization.

52641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2021 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 52641400 is about 7255.4393388685. The cubic root of 52641400 is about 374.7794851688.

The spelling of 52641400 in words is "fifty-two million, six hundred forty-one thousand, four hundred".