451130400 has 216 divisors, whose sum is σ = 1818258624. Its totient is φ = 103104000.

The previous prime is 451130389. The next prime is 451130401. The reversal of 451130400 is 4031154.

It is a happy number.

It is a super-3 number, since 3×451130400³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (451130401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45925 + ... + 54875.

It is an arithmetic number, because the mean of its divisors is an integer number (8417864).

Almost surely, 2^451130400 is an apocalyptic number.

451130400 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 451130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (909129312).

451130400 is an abundant number, since it is smaller than the sum of its proper divisors (1367128224).

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

451130400 is a wasteful number, since it uses less digits than its factorization.

451130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 8968 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 451130400 is about 21239.8305077983. The cubic root of 451130400 is about 766.9505522932.

Adding to 451130400 its reverse (4031154), we get a palindrome (455161554).

The spelling of 451130400 in words is "four hundred fifty-one million, one hundred thirty thousand, four hundred".