53078400 has 288 divisors, whose sum is σ = 201419400. Its totient is φ = 13271040.

The previous prime is 53078359. The next prime is 53078407. The reversal of 53078400 is 487035.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53078407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 547152 + ... + 547248.

Almost surely, 2^53078400 is an apocalyptic number.

53078400 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 53078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100709700).

53078400 is an abundant number, since it is smaller than the sum of its proper divisors (148341000).

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

53078400 is a wasteful number, since it uses less digits than its factorization.

53078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 53078400 is about 7285.4924335971. The cubic root of 53078400 is about 375.8136997701.

The spelling of 53078400 in words is "fifty-three million, seventy-eight thousand, four hundred".