54415200 has 288 divisors, whose sum is σ = 209986560. Its totient is φ = 11980800.

The previous prime is 54415187. The next prime is 54415201. The reversal of 54415200 is 251445.

It is a super-2 number, since 2×54415200² = 5922027982080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54415201) 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, 688761 + ... + 688839.

It is an arithmetic number, because the mean of its divisors is an integer number (729120).

Almost surely, 2^54415200 is an apocalyptic number.

54415200 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 54415200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104993280).

54415200 is an abundant number, since it is smaller than the sum of its proper divisors (155571360).

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

54415200 is a wasteful number, since it uses less digits than its factorization.

54415200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 54415200 is about 7376.6659135412. The cubic root of 54415200 is about 378.9425819733.

Adding to 54415200 its reverse (251445), we get a palindrome (54666645).

It can be divided in two parts, 54415 and 200, that added together give a triangular number (54615 = T₃₃₀).

The spelling of 54415200 in words is "fifty-four million, four hundred fifteen thousand, two hundred".