447630876 has 432 divisors, whose sum is σ = 1613364480. Its totient is φ = 102896640.

The previous prime is 447630851. The next prime is 447630881. The reversal of 447630876 is 678036744.

447630876 is a `hidden beast` number, since 4 + 4 + 7 + 630 + 8 + 7 + 6 = 666.

It is a super-2 number, since 2×447630876² = 400746802297054752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7586935 + ... + 7586993.

It is an arithmetic number, because the mean of its divisors is an integer number (3734640).

Almost surely, 2^447630876 is an apocalyptic number.

447630876 is a gapful number since it is divisible by the number (46) 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 447630876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

447630876 is an abundant number, since it is smaller than the sum of its proper divisors (1165733604).

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

447630876 is a wasteful number, since it uses less digits than its factorization.

447630876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 447630876 is about 21157.2889567638. The cubic root of 447630876 is about 764.9622639338.

The spelling of 447630876 in words is "four hundred forty-seven million, six hundred thirty thousand, eight hundred seventy-six".