53462880 has 144 divisors (see below), whose sum is σ = 184451904. Its totient is φ = 14100480.

The previous prime is 53462869. The next prime is 53462881. The reversal of 53462880 is 8826435.

It is a tau number, because it is divible by the number of its divisors (144).

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 (53462881) 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, 197145 + ... + 197415.

It is an arithmetic number, because the mean of its divisors is an integer number (1280916).

Almost surely, 2^53462880 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 53462880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92225952).

53462880 is an abundant number, since it is smaller than the sum of its proper divisors (130989024).

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

53462880 is a wasteful number, since it uses less digits than its factorization.

53462880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 53462880 is about 7311.8315079055. The cubic root of 53462880 is about 376.7189353245.

The spelling of 53462880 in words is "fifty-three million, four hundred sixty-two thousand, eight hundred eighty".