4555814400 has 360 divisors, whose sum is σ = 16563319344. Its totient is φ = 1195622400.

The previous prime is 4555814399. The next prime is 4555814407. The reversal of 4555814400 is 44185554.

It is a happy number.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4555814407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8178922 + ... + 8179478.

Almost surely, 2^4555814400 is an apocalyptic number.

4555814400 is a gapful number since it is divisible by the number (40) 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 4555814400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8281659672).

4555814400 is an abundant number, since it is smaller than the sum of its proper divisors (12007504944).

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

4555814400 is a wasteful number, since it uses less digits than its factorization.

4555814400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 36.

The square root of 4555814400 is about 67496.7732562083. The cubic root of 4555814400 is about 1657.7613409638.

Adding to 4555814400 its reverse (44185554), we get a palindrome (4599999954).

The spelling of 4555814400 in words is "four billion, five hundred fifty-five million, eight hundred fourteen thousand, four hundred".