53434080 has 480 divisors, whose sum is σ = 234178560. Its totient is φ = 11197440.

The previous prime is 53434067. The next prime is 53434097. The reversal of 53434080 is 8043435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1723665 + ... + 1723695.

It is an arithmetic number, because the mean of its divisors is an integer number (487872).

Almost surely, 2^53434080 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 53434080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117089280).

53434080 is an abundant number, since it is smaller than the sum of its proper divisors (180744480).

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

53434080 is a wasteful number, since it uses less digits than its factorization.

53434080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 53434080 is about 7309.8618317996. The cubic root of 53434080 is about 376.6512780758.

The spelling of 53434080 in words is "fifty-three million, four hundred thirty-four thousand, eighty".