52070400 has 216 divisors, whose sum is σ = 188132490. Its totient is φ = 13762560.

The previous prime is 52070383. The next prime is 52070423. The reversal of 52070400 is 407025.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 22127616 + 29942784 = 4704^2 + 5472^2 .

It is a super-2 number, since 2×52070400² = 5422653112320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 17 ways as a sum of consecutive naturals, for example, 460744 + ... + 460856.

Almost surely, 2^52070400 is an apocalyptic number.

52070400 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 52070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94066245).

52070400 is an abundant number, since it is smaller than the sum of its proper divisors (136062090).

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

52070400 is a wasteful number, since it uses less digits than its factorization.

52070400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 52070400 is about 7215.9822616190. The cubic root of 52070400 is about 373.4194812533.

Adding to 52070400 its reverse (407025), we get a palindrome (52477425).

The spelling of 52070400 in words is "fifty-two million, seventy thousand, four hundred".