451652000 has 48 divisors (see below), whose sum is σ = 1109718792. Its totient is φ = 180659200.

The previous prime is 451651987. The next prime is 451652009. The reversal of 451652000 is 256154.

It can be written as a sum of positive squares in 4 ways, for example, as 208167184 + 243484816 = 14428^2 + 15604^2 .

It is not an unprimeable number, because it can be changed into a prime (451652009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52457 + ... + 60456.

Almost surely, 2^451652000 is an apocalyptic number.

451652000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451652000 is an abundant number, since it is smaller than the sum of its proper divisors (658066792).

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

451652000 is a wasteful number, since it uses less digits than its factorization.

451652000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112938 (or 112920 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 451652000 is about 21252.1057780164. The cubic root of 451652000 is about 767.2460229082.

The spelling of 451652000 in words is "four hundred fifty-one million, six hundred fifty-two thousand".