445952520 has 256 divisors, whose sum is σ = 1671667200. Its totient is φ = 104924160.

The previous prime is 445952513. The next prime is 445952537. The reversal of 445952520 is 25259544.

445952520 is a `hidden beast` number, since 4 + 45 + 95 + 2 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 322230 + ... + 323610.

It is an arithmetic number, because the mean of its divisors is an integer number (6529950).

Almost surely, 2^445952520 is an apocalyptic number.

445952520 is a gapful number since it is divisible by the number (40) 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 445952520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (835833600).

445952520 is an abundant number, since it is smaller than the sum of its proper divisors (1225714680).

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

445952520 is a wasteful number, since it uses less digits than its factorization.

445952520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1437 (or 1427 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 445952520 is about 21117.5879304432. The cubic root of 445952520 is about 764.0050117084.

The spelling of 445952520 in words is "four hundred forty-five million, nine hundred fifty-two thousand, five hundred twenty".