445470000 has 200 divisors, whose sum is σ = 1487523840. Its totient is φ = 114720000.

The previous prime is 445469987. The next prime is 445470013. The reversal of 445470000 is 74544.

It is an interprime number because it is at equal distance from previous prime (445469987) and next prime (445470013).

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 929761 + ... + 930239.

Almost surely, 2^445470000 is an apocalyptic number.

445470000 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 445470000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743761920).

445470000 is an abundant number, since it is smaller than the sum of its proper divisors (1042053840).

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

445470000 is a wasteful number, since it uses less digits than its factorization.

445470000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 445470000 is about 21106.1602381864. The cubic root of 445470000 is about 763.7293614837.

The spelling of 445470000 in words is "four hundred forty-five million, four hundred seventy thousand".