450986676 has 96 divisors (see below), whose sum is σ = 1278708480. Its totient is φ = 120766464.

The previous prime is 450986651. The next prime is 450986681. The reversal of 450986676 is 676689054.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 446460 + ... + 447468.

It is an arithmetic number, because the mean of its divisors is an integer number (13319880).

Almost surely, 2^450986676 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 450986676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639354240).

450986676 is an abundant number, since it is smaller than the sum of its proper divisors (827721804).

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

450986676 is a wasteful number, since it uses less digits than its factorization.

450986676 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The square root of 450986676 is about 21236.4468779502. The cubic root of 450986676 is about 766.8690969763.

The spelling of 450986676 in words is "four hundred fifty million, nine hundred eighty-six thousand, six hundred seventy-six".