53070400 has 84 divisors (see below), whose sum is σ = 133936740. Its totient is φ = 20684800.

The previous prime is 53070397. The next prime is 53070431. The reversal of 53070400 is 407035.

It can be written as a sum of positive squares in 6 ways, for example, as 2262016 + 50808384 = 1504^2 + 7128^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65196 + ... + 66004.

It is an arithmetic number, because the mean of its divisors is an integer number (1594485).

Almost surely, 2^53070400 is an apocalyptic number.

53070400 is a gapful number since it is divisible by the number (50) 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 53070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66968370).

53070400 is an abundant number, since it is smaller than the sum of its proper divisors (80866340).

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

53070400 is a wasteful number, since it uses less digits than its factorization.

53070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 872 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 19.

The square root of 53070400 is about 7284.9433765816. The cubic root of 53070400 is about 375.7948178856.

Adding to 53070400 its reverse (407035), we get a palindrome (53477435).

The spelling of 53070400 in words is "fifty-three million, seventy thousand, four hundred".