54608400 has 360 divisors, whose sum is σ = 237466944. Its totient is φ = 11289600.

The previous prime is 54608399. The next prime is 54608401. The reversal of 54608400 is 480645.

54608400 is a `hidden beast` number, since 54 + 608 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (54608399) and next prime (54608401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54608401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 277102 + ... + 277298.

Almost surely, 2^54608400 is an apocalyptic number.

54608400 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 54608400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118733472).

54608400 is an abundant number, since it is smaller than the sum of its proper divisors (182858544).

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

54608400 is a wasteful number, since it uses less digits than its factorization.

54608400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54608400 is about 7389.7496574647. The cubic root of 54608400 is about 379.3905280853.

The spelling of 54608400 in words is "fifty-four million, six hundred eight thousand, four hundred".