451532400 has 240 divisors, whose sum is σ = 1601564160. Its totient is φ = 107827200.

The previous prime is 451532399. The next prime is 451532401. The reversal of 451532400 is 4235154.

It is an interprime number because it is at equal distance from previous prime (451532399) and next prime (451532401).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (451532401) 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, 1042584 + ... + 1043016.

It is an arithmetic number, because the mean of its divisors is an integer number (6673184).

Almost surely, 2^451532400 is an apocalyptic number.

451532400 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 451532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800782080).

451532400 is an abundant number, since it is smaller than the sum of its proper divisors (1150031760).

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

451532400 is a wasteful number, since it uses less digits than its factorization.

451532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 451532400 is about 21249.2917529032. The cubic root of 451532400 is about 767.1782932363.

Adding to 451532400 its reverse (4235154), we get a palindrome (455767554).

The spelling of 451532400 in words is "four hundred fifty-one million, five hundred thirty-two thousand, four hundred".