54646500 has 96 divisors (see below), whose sum is σ = 168569856. Its totient is φ = 13708800.

The previous prime is 54646463. The next prime is 54646511. The reversal of 54646500 is 564645.

54646500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24429 + ... + 26571.

It is an arithmetic number, because the mean of its divisors is an integer number (1755936).

Almost surely, 2^54646500 is an apocalyptic number.

54646500 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 54646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84284928).

54646500 is an abundant number, since it is smaller than the sum of its proper divisors (113923356).

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

54646500 is a wasteful number, since it uses less digits than its factorization.

54646500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2182 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 54646500 is about 7392.3271031523. The cubic root of 54646500 is about 379.4787405138.

The spelling of 54646500 in words is "fifty-four million, six hundred forty-six thousand, five hundred".