4524800400 has 240 divisors, whose sum is σ = 16661433600. Its totient is φ = 1164925440.

The previous prime is 4524800383. The next prime is 4524800437. The reversal of 4524800400 is 40084254.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 305977 + ... + 320423.

It is an arithmetic number, because the mean of its divisors is an integer number (69422640).

Almost surely, 2^4524800400 is an apocalyptic number.

4524800400 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 4524800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330716800).

4524800400 is an abundant number, since it is smaller than the sum of its proper divisors (12136633200).

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

4524800400 is a wasteful number, since it uses less digits than its factorization.

4524800400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14503 (or 14486 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 4524800400 is about 67266.6366038915. The cubic root of 4524800400 is about 1653.9909999915.

Adding to 4524800400 its reverse (40084254), we get a palindrome (4564884654).

The spelling of 4524800400 in words is "four billion, five hundred twenty-four million, eight hundred thousand, four hundred".