53260480 has 224 divisors, whose sum is σ = 163860480. Its totient is φ = 16035840.

The previous prime is 53260463. The next prime is 53260481. The reversal of 53260480 is 8406235.

53260480 = T₂₈₅₆ + T₂₈₅₇ + ... + T₂₈₆₈.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (53260481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 902691 + ... + 902749.

It is an arithmetic number, because the mean of its divisors is an integer number (731520).

Almost surely, 2^53260480 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 53260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81930240).

53260480 is an abundant number, since it is smaller than the sum of its proper divisors (110600000).

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

53260480 is a wasteful number, since it uses less digits than its factorization.

53260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 53260480 is about 7297.9778021038. The cubic root of 53260480 is about 376.2429394230.

The spelling of 53260480 in words is "fifty-three million, two hundred sixty thousand, four hundred eighty".