52784400 has 60 divisors (see below), whose sum is σ = 169089872. Its totient is φ = 14075520.

The previous prime is 52784399. The next prime is 52784401. The reversal of 52784400 is 448725.

It is an interprime number because it is at equal distance from previous prime (52784399) and next prime (52784401).

It is a tau number, because it is divible by the number of its divisors (60).

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

It is not an unprimeable number, because it can be changed into a prime (52784401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20794 + ... + 23193.

Almost surely, 2^52784400 is an apocalyptic number.

52784400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52784400 is an abundant number, since it is smaller than the sum of its proper divisors (116305472).

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

52784400 is a wasteful number, since it uses less digits than its factorization.

52784400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44008 (or 43997 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 52784400 is about 7265.2873308631. The cubic root of 52784400 is about 375.1185403024.

The spelling of 52784400 in words is "fifty-two million, seven hundred eighty-four thousand, four hundred".