54105464 has 64 divisors (see below), whose sum is σ = 123129600. Its totient is φ = 21772800.

The previous prime is 54105461. The next prime is 54105473. The reversal of 54105464 is 46450145.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54105461) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224384 + ... + 224624.

It is an arithmetic number, because the mean of its divisors is an integer number (1923900).

Almost surely, 2^54105464 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 54105464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61564800).

54105464 is an abundant number, since it is smaller than the sum of its proper divisors (69024136).

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

54105464 is a wasteful number, since it uses less digits than its factorization.

54105464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 29.

The square root of 54105464 is about 7355.6416443435. The cubic root of 54105464 is about 378.2222221967. Note that the first 6 decimals are identical.

The spelling of 54105464 in words is "fifty-four million, one hundred five thousand, four hundred sixty-four".