451129800 has 192 divisors, whose sum is σ = 1578916800. Its totient is φ = 105548800.

The previous prime is 451129769. The next prime is 451129801. The reversal of 451129800 is 8921154.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (451129801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190222 + ... + 192578.

It is an arithmetic number, because the mean of its divisors is an integer number (8223525).

Almost surely, 2^451129800 is an apocalyptic number.

451129800 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 451129800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (789458400).

451129800 is an abundant number, since it is smaller than the sum of its proper divisors (1127787000).

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

451129800 is a wasteful number, since it uses less digits than its factorization.

451129800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2416 (or 2407 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 451129800 is about 21239.8163833871. The cubic root of 451129800 is about 766.9502122802.

The spelling of 451129800 in words is "four hundred fifty-one million, one hundred twenty-nine thousand, eight hundred".