54620400 has 120 divisors (see below), whose sum is σ = 182666880. Its totient is φ = 13925120.

The previous prime is 54620359. The next prime is 54620407. The reversal of 54620400 is 402645.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54620407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 26611 + ... + 28589.

It is an arithmetic number, because the mean of its divisors is an integer number (1522224).

Almost surely, 2^54620400 is an apocalyptic number.

54620400 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 54620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91333440).

54620400 is an abundant number, since it is smaller than the sum of its proper divisors (128046480).

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

54620400 is a wasteful number, since it uses less digits than its factorization.

54620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2012 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 54620400 is about 7390.5615483534. The cubic root of 54620400 is about 379.4183159524.

The spelling of 54620400 in words is "fifty-four million, six hundred twenty thousand, four hundred".