451532000 has 96 divisors (see below), whose sum is σ = 1118033280. Its totient is φ = 179212800.

The previous prime is 451531999. The next prime is 451532023. The reversal of 451532000 is 235154.

It is a super-2 number, since 2×451532000² = 407762294048000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 627641 + ... + 628359.

It is an arithmetic number, because the mean of its divisors is an integer number (11646180).

Almost surely, 2^451532000 is an apocalyptic number.

451532000 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 451532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559016640).

451532000 is an abundant number, since it is smaller than the sum of its proper divisors (666501280).

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

451532000 is a wasteful number, since it uses less digits than its factorization.

451532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 901 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 451532000 is about 21249.2823408227. The cubic root of 451532000 is about 767.1780666956.

Adding to 451532000 its reverse (235154), we get a palindrome (451767154).

The spelling of 451532000 in words is "four hundred fifty-one million, five hundred thirty-two thousand".