80446464 has 264 divisors, whose sum is σ = 281012160. Its totient is φ = 21676032.

The previous prime is 80446463. The next prime is 80446481. The reversal of 80446464 is 46464408.

80446464 is a `hidden beast` number, since 8 + 0 + 4 + 4 + 646 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80446463) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870827 + ... + 1870869.

It is an arithmetic number, because the mean of its divisors is an integer number (1064440).

Almost surely, 2^80446464 is an apocalyptic number.

80446464 is a gapful number since it is divisible by the number (84) 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 80446464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140506080).

80446464 is an abundant number, since it is smaller than the sum of its proper divisors (200565696).

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

80446464 is a wasteful number, since it uses less digits than its factorization.

80446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 80446464 is about 8969.1952816292. The cubic root of 80446464 is about 431.6870160963.

The spelling of 80446464 in words is "eighty million, four hundred forty-six thousand, four hundred sixty-four".