52984920 has 128 divisors (see below), whose sum is σ = 177292800. Its totient is φ = 12589056.

The previous prime is 52984913. The next prime is 52984927. The reversal of 52984920 is 2948925.

It is an interprime number because it is at equal distance from previous prime (52984913) and next prime (52984927).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52984927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38077 + ... + 39443.

It is an arithmetic number, because the mean of its divisors is an integer number (1385100).

Almost surely, 2^52984920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52984920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88646400).

52984920 is an abundant number, since it is smaller than the sum of its proper divisors (124307880).

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

52984920 is a wasteful number, since it uses less digits than its factorization.

52984920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 52984920 is about 7279.0741169465. The cubic root of 52984920 is about 375.5929463892.

The spelling of 52984920 in words is "fifty-two million, nine hundred eighty-four thousand, nine hundred twenty".