53484480 has 252 divisors, whose sum is σ = 214563960. Its totient is φ = 12192768.

The previous prime is 53484479. The next prime is 53484481. The reversal of 53484480 is 8448435.

53484480 is a `hidden beast` number, since 534 + 8 + 44 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (53484479) and next prime (53484481).

It is a tau number, because it is divible by the number of its divisors (252).

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 (53484481) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 140931 + ... + 141309.

Almost surely, 2^53484480 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 53484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107281980).

53484480 is an abundant number, since it is smaller than the sum of its proper divisors (161079480).

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

53484480 is a wasteful number, since it uses less digits than its factorization.

53484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The square root of 53484480 is about 7313.3084168521. The cubic root of 53484480 is about 376.7696623174.

The spelling of 53484480 in words is "fifty-three million, four hundred eighty-four thousand, four hundred eighty".