54464000 has 160 divisors (see below), whose sum is σ = 145544256. Its totient is φ = 20275200.

The previous prime is 54463991. The next prime is 54464027. The reversal of 54464000 is 46445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1471982 + ... + 1472018.

Almost surely, 2^54464000 is an apocalyptic number.

54464000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72772128).

54464000 is an abundant number, since it is smaller than the sum of its proper divisors (91080256).

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

54464000 is an equidigital number, since it uses as much as digits as its factorization.

54464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 54464000 is about 7379.9728996792. The cubic root of 54464000 is about 379.0558277374.

The spelling of 54464000 in words is "fifty-four million, four hundred sixty-four thousand".