451001398680 has 768 divisors, whose sum is σ = 1906924032000. Its totient is φ = 89952436224.

The previous prime is 451001398621. The next prime is 451001398717. The reversal of 451001398680 is 86893100154.

451001398680 is a `hidden beast` number, since 451 + 0 + 0 + 139 + 8 + 68 + 0 = 666.

It is a super-2 number, since 2×451001398680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 38250226 + ... + 38262014.

It is an arithmetic number, because the mean of its divisors is an integer number (2482974000).

Almost surely, 2^451001398680 is an apocalyptic number.

451001398680 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 451001398680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953462016000).

451001398680 is an abundant number, since it is smaller than the sum of its proper divisors (1455922633320).

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

451001398680 is a wasteful number, since it uses less digits than its factorization.

451001398680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11896 (or 11889 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 451001398680 in words is "four hundred fifty-one billion, one million, three hundred ninety-eight thousand, six hundred eighty".