54202464 has 108 divisors (see below), whose sum is σ = 159446196. Its totient is φ = 17462016.

The previous prime is 54202433. The next prime is 54202469. The reversal of 54202464 is 46420245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54202469) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 808959 + ... + 809025.

Almost surely, 2^54202464 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 54202464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79723098).

54202464 is an abundant number, since it is smaller than the sum of its proper divisors (105243732).

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

54202464 is a wasteful number, since it uses less digits than its factorization.

54202464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 54202464 is about 7362.2322701746. The cubic root of 54202464 is about 378.4481122161.

The spelling of 54202464 in words is "fifty-four million, two hundred two thousand, four hundred sixty-four".