53487504 has 120 divisors (see below), whose sum is σ = 174869760. Its totient is φ = 14943744.

The previous prime is 53487439. The next prime is 53487509. The reversal of 53487504 is 40578435.

53487504 = 159³ + 160³ + ... + 170³.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (53487509) 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, 46812 + ... + 47940.

It is an arithmetic number, because the mean of its divisors is an integer number (1457248).

Almost surely, 2^53487504 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 53487504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87434880).

53487504 is an abundant number, since it is smaller than the sum of its proper divisors (121382256).

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

53487504 is a wasteful number, since it uses less digits than its factorization.

53487504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1188 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 53487504 is about 7313.5151603042. The cubic root of 53487504 is about 376.7767630064.

The spelling of 53487504 in words is "fifty-three million, four hundred eighty-seven thousand, five hundred four".