451147680 has 72 divisors (see below), whose sum is σ = 1539546372. Its totient is φ = 120305664.

The previous prime is 451147673. The next prime is 451147687. The reversal of 451147680 is 86741154.

It is a happy number.

451147680 is a `hidden beast` number, since 451 + 147 + 68 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (451147673) and next prime (451147687).

It can be written as a sum of positive squares in 2 ways, for example, as 396328464 + 54819216 = 19908^2 + 7404^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (451147687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155209 + ... + 158088.

Almost surely, 2^451147680 is an apocalyptic number.

451147680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

451147680 is an abundant number, since it is smaller than the sum of its proper divisors (1088398692).

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

451147680 is a wasteful number, since it uses less digits than its factorization.

451147680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313318 (or 313307 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 451147680 is about 21240.2372868101. The cubic root of 451147680 is about 766.9603445368.

The spelling of 451147680 in words is "four hundred fifty-one million, one hundred forty-seven thousand, six hundred eighty".