53934480 has 120 divisors (see below), whose sum is σ = 182597688. Its totient is φ = 14266368.

The previous prime is 53934473. The next prime is 53934481. The reversal of 53934480 is 8443935.

53934480 is a `hidden beast` number, since 539 + 3 + 44 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 47941776 = 2448^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (53934481) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124344 + ... + 124776.

Almost surely, 2^53934480 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 53934480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91298844).

53934480 is an abundant number, since it is smaller than the sum of its proper divisors (128663208).

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

53934480 is a wasteful number, since it uses less digits than its factorization.

53934480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 53934480 is about 7344.0098039150. The cubic root of 53934480 is about 377.8233826784.

The spelling of 53934480 in words is "fifty-three million, nine hundred thirty-four thousand, four hundred eighty".