5451002400 has 432 divisors, whose sum is σ = 19569997440. Its totient is φ = 1316044800.

The previous prime is 5451002387. The next prime is 5451002419. The reversal of 5451002400 is 42001545.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 20114265 + ... + 20114535.

It is an arithmetic number, because the mean of its divisors is an integer number (45300920).

Almost surely, 2^5451002400 is an apocalyptic number.

5451002400 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 5451002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784998720).

5451002400 is an abundant number, since it is smaller than the sum of its proper divisors (14118995040).

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

5451002400 is a wasteful number, since it uses less digits than its factorization.

5451002400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 5451002400 is about 73830.9040984871. The cubic root of 5451002400 is about 1759.9167488170.

Adding to 5451002400 its reverse (42001545), we get a palindrome (5493003945).

The spelling of 5451002400 in words is "five billion, four hundred fifty-one million, two thousand, four hundred".