5451210400 has 144 divisors (see below), whose sum is σ = 13721871744. Its totient is φ = 2113556480.

The previous prime is 5451210397. The next prime is 5451210403. The reversal of 5451210400 is 40121545.

It is an interprime number because it is at equal distance from previous prime (5451210397) and next prime (5451210403).

It is not an unprimeable number, because it can be changed into a prime (5451210403) 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, 4248159 + ... + 4249441.

It is an arithmetic number, because the mean of its divisors is an integer number (95290776).

Almost surely, 2^5451210400 is an apocalyptic number.

5451210400 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 5451210400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6860935872).

5451210400 is an abundant number, since it is smaller than the sum of its proper divisors (8270661344).

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

5451210400 is a wasteful number, since it uses less digits than its factorization.

5451210400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1463 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

The square root of 5451210400 is about 73832.3127092738. The cubic root of 5451210400 is about 1759.9391335700.

Adding to 5451210400 its reverse (40121545), we get a palindrome (5491331945).

The spelling of 5451210400 in words is "five billion, four hundred fifty-one million, two hundred ten thousand, four hundred".