53960400 has 180 divisors, whose sum is σ = 201836908. Its totient is φ = 13271040.

The previous prime is 53960383. The next prime is 53960407. The reversal of 53960400 is 406935.

It is a happy number.

53960400 is a `hidden beast` number, since 53 + 9 + 604 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1774224 + 52186176 = 1332^2 + 7224^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53960407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 46224 + ... + 47376.

Almost surely, 2^53960400 is an apocalyptic number.

53960400 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 53960400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100918454).

53960400 is an abundant number, since it is smaller than the sum of its proper divisors (147876508).

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

53960400 is a wasteful number, since it uses less digits than its factorization.

53960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1176 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 53960400 is about 7345.7742954708. The cubic root of 53960400 is about 377.8838981637.

The spelling of 53960400 in words is "fifty-three million, nine hundred sixty thousand, four hundred".