54467700 has 144 divisors (see below), whose sum is σ = 185238144. Its totient is φ = 12096000.

The previous prime is 54467683. The next prime is 54467701. The reversal of 54467700 is 776445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54467701) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 77350 + ... + 78050.

It is an arithmetic number, because the mean of its divisors is an integer number (1286376).

Almost surely, 2^54467700 is an apocalyptic number.

54467700 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 54467700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92619072).

54467700 is an abundant number, since it is smaller than the sum of its proper divisors (130770444).

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

54467700 is a wasteful number, since it uses less digits than its factorization.

54467700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 54467700 is about 7380.2235738492. The cubic root of 54467700 is about 379.0644112348.

The spelling of 54467700 in words is "fifty-four million, four hundred sixty-seven thousand, seven hundred".