451312400 has 120 divisors (see below), whose sum is σ = 1351919424. Its totient is φ = 140659200.

The previous prime is 451312399. The next prime is 451312403. The reversal of 451312400 is 4213154.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (451312403) 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, 23474 + ... + 38126.

Almost surely, 2^451312400 is an apocalyptic number.

451312400 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 451312400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675959712).

451312400 is an abundant number, since it is smaller than the sum of its proper divisors (900607024).

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

451312400 is a wasteful number, since it uses less digits than its factorization.

451312400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14689 (or 14678 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 451312400 is about 21244.1144790740. The cubic root of 451312400 is about 767.0536756427.

Adding to 451312400 its reverse (4213154), we get a palindrome (455525554).

The spelling of 451312400 in words is "four hundred fifty-one million, three hundred twelve thousand, four hundred".