447772416 has 288 divisors, whose sum is σ = 1510924800. Its totient is φ = 114573312.

The previous prime is 447772399. The next prime is 447772421. The reversal of 447772416 is 614277744.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3005110 + ... + 3005258.

Almost surely, 2^447772416 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 447772416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755462400).

447772416 is an abundant number, since it is smaller than the sum of its proper divisors (1063152384).

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

447772416 is a wasteful number, since it uses less digits than its factorization.

447772416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 217 counting only the distinct ones).

The product of its digits is 263424, while the sum is 42.

The square root of 447772416 is about 21160.6336389060. The cubic root of 447772416 is about 765.0428819569.

The spelling of 447772416 in words is "four hundred forty-seven million, seven hundred seventy-two thousand, four hundred sixteen".