451125400 has 144 divisors (see below), whose sum is σ = 1182189960. Its totient is φ = 158745600.

The previous prime is 451125397. The next prime is 451125431. The reversal of 451125400 is 4521154.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

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, 6179764 + ... + 6179836.

Almost surely, 2^451125400 is an apocalyptic number.

451125400 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 451125400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591094980).

451125400 is an abundant number, since it is smaller than the sum of its proper divisors (731064560).

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

451125400 is a wasteful number, since it uses less digits than its factorization.

451125400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 144 counting only the distinct ones).

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

The square root of 451125400 is about 21239.7128040847. The cubic root of 451125400 is about 766.9477188427.

Adding to 451125400 its reverse (4521154), we get a palindrome (455646554).

The spelling of 451125400 in words is "four hundred fifty-one million, one hundred twenty-five thousand, four hundred".