54490464 has 144 divisors (see below), whose sum is σ = 179262720. Its totient is φ = 15379200.

The previous prime is 54490463. The next prime is 54490477. The reversal of 54490464 is 46409445.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (54490463) 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, 304327 + ... + 304505.

It is an arithmetic number, because the mean of its divisors is an integer number (1244880).

Almost surely, 2^54490464 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 54490464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89631360).

54490464 is an abundant number, since it is smaller than the sum of its proper divisors (124772256).

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

54490464 is a wasteful number, since it uses less digits than its factorization.

54490464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 54490464 is about 7381.7656424463. The cubic root of 54490464 is about 379.1172120716.

The spelling of 54490464 in words is "fifty-four million, four hundred ninety thousand, four hundred sixty-four".