53414784 has 96 divisors (see below), whose sum is σ = 155142000. Its totient is φ = 17639424.

The previous prime is 53414743. The next prime is 53414789. The reversal of 53414784 is 48741435.

53414784 is a `hidden beast` number, since 534 + 1 + 47 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53414789) 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 11 ways as a sum of consecutive naturals, for example, 229132 + ... + 229364.

Almost surely, 2^53414784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53414784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77571000).

53414784 is an abundant number, since it is smaller than the sum of its proper divisors (101727216).

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

53414784 is a wasteful number, since it uses less digits than its factorization.

53414784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 53414784 is about 7308.5418518334. The cubic root of 53414784 is about 376.6059341175.

The spelling of 53414784 in words is "fifty-three million, four hundred fourteen thousand, seven hundred eighty-four".