451207680 has 480 divisors, whose sum is σ = 1847292480. Its totient is φ = 92897280.

The previous prime is 451207663. The next prime is 451207717. The reversal of 451207680 is 86702154.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4139466 + ... + 4139574.

It is an arithmetic number, because the mean of its divisors is an integer number (3848526).

Almost surely, 2^451207680 is an apocalyptic number.

451207680 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 451207680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923646240).

451207680 is an abundant number, since it is smaller than the sum of its proper divisors (1396084800).

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

451207680 is a wasteful number, since it uses less digits than its factorization.

451207680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 451207680 is about 21241.6496534521. The cubic root of 451207680 is about 766.9943434414.

The spelling of 451207680 in words is "four hundred fifty-one million, two hundred seven thousand, six hundred eighty".