4605400800 has 1440 divisors, whose sum is σ = 22867536384. Its totient is φ = 870912000.

The previous prime is 4605400777. The next prime is 4605400801. The reversal of 4605400800 is 80045064.

4605400800 is a `hidden beast` number, since 46 + 0 + 540 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4605400801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 64864765 + ... + 64864835.

Almost surely, 2^4605400800 is an apocalyptic number.

4605400800 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 4605400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11433768192).

4605400800 is an abundant number, since it is smaller than the sum of its proper divisors (18262135584).

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

4605400800 is a wasteful number, since it uses less digits than its factorization.

4605400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

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

The square root of 4605400800 is about 67863.1033773139. The cubic root of 4605400800 is about 1663.7541203202.

Adding to 4605400800 its reverse (80045064), we get a palindrome (4685445864).

The spelling of 4605400800 in words is "four billion, six hundred five million, four hundred thousand, eight hundred".