53464320 has 576 divisors, whose sum is σ = 247242240. Its totient is φ = 10616832.

The previous prime is 53464319. The next prime is 53464331. The reversal of 53464320 is 2346435.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 3144952 + ... + 3144968.

It is an arithmetic number, because the mean of its divisors is an integer number (429240).

Almost surely, 2^53464320 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 53464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123621120).

53464320 is an abundant number, since it is smaller than the sum of its proper divisors (193777920).

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

53464320 is a wasteful number, since it uses less digits than its factorization.

53464320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 53464320 is about 7311.9299777829. The cubic root of 53464320 is about 376.7223175490.

The spelling of 53464320 in words is "fifty-three million, four hundred sixty-four thousand, three hundred twenty".