54896400 has 480 divisors, whose sum is σ = 232485120. Its totient is φ = 12165120.

The previous prime is 54896371. The next prime is 54896437. The reversal of 54896400 is 469845.

54896400 is a `hidden beast` number, since 5 + 4 + 8 + 9 + 640 + 0 = 666.

It is a super-2 number, since 2×54896400² = 6027229465920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 2386789 + ... + 2386811.

It is an arithmetic number, because the mean of its divisors is an integer number (484344).

Almost surely, 2^54896400 is an apocalyptic number.

54896400 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 54896400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116242560).

54896400 is an abundant number, since it is smaller than the sum of its proper divisors (177588720).

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

54896400 is a wasteful number, since it uses less digits than its factorization.

54896400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 54896400 is about 7409.2104842554. The cubic root of 54896400 is about 380.0563166764.

The spelling of 54896400 in words is "fifty-four million, eight hundred ninety-six thousand, four hundred".