53405352 has 384 divisors, whose sum is σ = 210816000. Its totient is φ = 12130560.

The previous prime is 53405351. The next prime is 53405353. The reversal of 53405352 is 25350435.

It is an interprime number because it is at equal distance from previous prime (53405351) and next prime (53405353).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (53405351) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2810799 + ... + 2810817.

It is an arithmetic number, because the mean of its divisors is an integer number (549000).

Almost surely, 2^53405352 is an apocalyptic number.

53405352 is a gapful number since it is divisible by the number (52) 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 53405352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105408000).

53405352 is an abundant number, since it is smaller than the sum of its proper divisors (157410648).

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

53405352 is a wasteful number, since it uses less digits than its factorization.

53405352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

The square root of 53405352 is about 7307.8965509919. The cubic root of 53405352 is about 376.5837657463.

Adding to 53405352 its reverse (25350435), we get a palindrome (78755787).

The spelling of 53405352 in words is "fifty-three million, four hundred five thousand, three hundred fifty-two".