52658400 has 144 divisors (see below), whose sum is σ = 176332464. Its totient is φ = 13639680.

The previous prime is 52658393. The next prime is 52658407. The reversal of 52658400 is 485625.

It is an interprime number because it is at equal distance from previous prime (52658393) and next prime (52658407).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52658407) 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, 88504 + ... + 89096.

It is an arithmetic number, because the mean of its divisors is an integer number (1224531).

Almost surely, 2^52658400 is an apocalyptic number.

52658400 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 52658400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88166232).

52658400 is an abundant number, since it is smaller than the sum of its proper divisors (123674064).

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

52658400 is a wasteful number, since it uses less digits than its factorization.

52658400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 52658400 is about 7256.6107791448. The cubic root of 52658400 is about 374.8198245565.

The spelling of 52658400 in words is "fifty-two million, six hundred fifty-eight thousand, four hundred".