52953440 has 48 divisors (see below), whose sum is σ = 126055440. Its totient is φ = 21020160.

The previous prime is 52953389. The next prime is 52953469. The reversal of 52953440 is 4435925.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 52953397 and 52953406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21050 + ... + 23430.

It is an arithmetic number, because the mean of its divisors is an integer number (2626155).

Almost surely, 2^52953440 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 52953440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63027720).

52953440 is an abundant number, since it is smaller than the sum of its proper divisors (73102000).

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

52953440 is a wasteful number, since it uses less digits than its factorization.

52953440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2535 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The square root of 52953440 is about 7276.9114327440. The cubic root of 52953440 is about 375.5185478098.

The spelling of 52953440 in words is "fifty-two million, nine hundred fifty-three thousand, four hundred forty".