55154400 has 288 divisors, whose sum is σ = 212486400. Its totient is φ = 12418560.

The previous prime is 55154387. The next prime is 55154401. The reversal of 55154400 is 445155.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55154401) 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, 823167 + ... + 823233.

It is an arithmetic number, because the mean of its divisors is an integer number (737800).

Almost surely, 2^55154400 is an apocalyptic number.

55154400 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 55154400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106243200).

55154400 is an abundant number, since it is smaller than the sum of its proper divisors (157332000).

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

55154400 is a wasteful number, since it uses less digits than its factorization.

55154400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 55154400 is about 7426.6008375299. The cubic root of 55154400 is about 380.6507777495.

Adding to 55154400 its reverse (445155), we get a palindrome (55599555).

The spelling of 55154400 in words is "fifty-five million, one hundred fifty-four thousand, four hundred".