4534320400 has 120 divisors (see below), whose sum is σ = 11550205184. Its totient is φ = 1707609600.

The previous prime is 4534320397. The next prime is 4534320407. The reversal of 4534320400 is 40234354.

It is a super-2 number, since 2×4534320400² = 41120122979712320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (4534320407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 453859 + ... + 463741.

Almost surely, 2^4534320400 is an apocalyptic number.

4534320400 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 4534320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5775102592).

4534320400 is an abundant number, since it is smaller than the sum of its proper divisors (7015884784).

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

4534320400 is a wasteful number, since it uses less digits than its factorization.

4534320400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9969 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 25.

The square root of 4534320400 is about 67337.3625857146. The cubic root of 4534320400 is about 1655.1501645097.

Adding to 4534320400 its reverse (40234354), we get a palindrome (4574554754).

The spelling of 4534320400 in words is "four billion, five hundred thirty-four million, three hundred twenty thousand, four hundred".