52463400 has 96 divisors (see below), whose sum is σ = 177444000. Its totient is φ = 12716800.

The previous prime is 52463381. The next prime is 52463401. The reversal of 52463400 is 436425.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (52463401) 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, 2626 + ... + 10574.

It is an arithmetic number, because the mean of its divisors is an integer number (1848375).

Almost surely, 2^52463400 is an apocalyptic number.

52463400 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 52463400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88722000).

52463400 is an abundant number, since it is smaller than the sum of its proper divisors (124980600).

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

52463400 is a wasteful number, since it uses less digits than its factorization.

52463400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979 (or 7970 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 52463400 is about 7243.1622928111. The cubic root of 52463400 is about 374.3565855679.

Adding to 52463400 its reverse (436425), we get a palindrome (52899825).

It can be divided in two parts, 5246 and 3400, that added together give a triangular number (8646 = T₁₃₁).

The spelling of 52463400 in words is "fifty-two million, four hundred sixty-three thousand, four hundred".