445925040 has 160 divisors (see below), whose sum is σ = 1536973056. Its totient is φ = 106030080.

The previous prime is 445925033. The next prime is 445925047. The reversal of 445925040 is 40529544.

It is an interprime number because it is at equal distance from previous prime (445925033) and next prime (445925047).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 445924992 and 445925010.

It is not an unprimeable number, because it can be changed into a prime (445925047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138327 + ... + 141513.

Almost surely, 2^445925040 is an apocalyptic number.

445925040 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 445925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768486528).

445925040 is an abundant number, since it is smaller than the sum of its proper divisors (1091048016).

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

445925040 is a wasteful number, since it uses less digits than its factorization.

445925040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3267 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 445925040 is about 21116.9372779293. The cubic root of 445925040 is about 763.9893184914.

The spelling of 445925040 in words is "four hundred forty-five million, nine hundred twenty-five thousand, forty".