451201896 has 96 divisors (see below), whose sum is σ = 1298349000. Its totient is φ = 141066240.

The previous prime is 451201871. The next prime is 451201957. The reversal of 451201896 is 698102154.

451201896 is a `hidden beast` number, since 451 + 20 + 189 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 410062500 + 41139396 = 20250^2 + 6414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 451201896.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 549166 + ... + 549986.

Almost surely, 2^451201896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451201896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649174500).

451201896 is an abundant number, since it is smaller than the sum of its proper divisors (847147104).

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

451201896 is a wasteful number, since it uses less digits than its factorization.

451201896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 451201896 is about 21241.5135053979. The cubic root of 451201896 is about 766.9910660783.

The spelling of 451201896 in words is "four hundred fifty-one million, two hundred one thousand, eight hundred ninety-six".