52479120 has 80 divisors (see below), whose sum is σ = 163382400. Its totient is φ = 13934592.

The previous prime is 52479107. The next prime is 52479127. The reversal of 52479120 is 2197425.

It is a tau number, because it is divible by the number of its divisors (80).

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 (52479127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107517 + ... + 108003.

It is an arithmetic number, because the mean of its divisors is an integer number (2042280).

Almost surely, 2^52479120 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 52479120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81691200).

52479120 is an abundant number, since it is smaller than the sum of its proper divisors (110903280).

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

52479120 is a wasteful number, since it uses less digits than its factorization.

52479120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 952 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 52479120 is about 7244.2473729160. The cubic root of 52479120 is about 374.3939722530.

The spelling of 52479120 in words is "fifty-two million, four hundred seventy-nine thousand, one hundred twenty".