53978400 has 540 divisors, whose sum is σ = 242457138. Its totient is φ = 11612160.

The previous prime is 53978399. The next prime is 53978413. The reversal of 53978400 is 487935.

It can be written as a sum of positive squares in 3 ways, for example, as 46294416 + 7683984 = 6804^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 3175192 + ... + 3175208.

Almost surely, 2^53978400 is an apocalyptic number.

53978400 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 53978400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121228569).

53978400 is an abundant number, since it is smaller than the sum of its proper divisors (188478738).

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

53978400 is a wasteful number, since it uses less digits than its factorization.

53978400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 53978400 is about 7346.9993875051. Note that the first 3 decimals coincide. The cubic root of 53978400 is about 377.9259114054.

The spelling of 53978400 in words is "fifty-three million, nine hundred seventy-eight thousand, four hundred".