446916379500 has 384 divisors, whose sum is σ = 1484672716800. Its totient is φ = 116005824000.

The previous prime is 446916379489. The next prime is 446916379529. The reversal of 446916379500 is 5973619644.

446916379500 is a `hidden beast` number, since 4 + 4 + 6 + 9 + 1 + 63 + 79 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 127 ways as a sum of consecutive naturals, for example, 397965939 + ... + 397967061.

It is an arithmetic number, because the mean of its divisors is an integer number (3866335200).

Almost surely, 2^446916379500 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 446916379500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742336358400).

446916379500 is an abundant number, since it is smaller than the sum of its proper divisors (1037756337300).

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

446916379500 is a wasteful number, since it uses less digits than its factorization.

446916379500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1893 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 446916379500 in words is "four hundred forty-six billion, nine hundred sixteen million, three hundred seventy-nine thousand, five hundred".