40446000 has 320 divisors, whose sum is σ = 167132160. Its totient is φ = 9158400.

The previous prime is 40445987. The next prime is 40446001. The reversal of 40446000 is 64404.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (40446001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 377947 + ... + 378053.

It is an arithmetic number, because the mean of its divisors is an integer number (522288).

Almost surely, 2^40446000 is an apocalyptic number.

40446000 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 40446000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83566080).

40446000 is an abundant number, since it is smaller than the sum of its proper divisors (126686160).

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

40446000 is a wasteful number, since it uses less digits than its factorization.

40446000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 40446000 is about 6359.7169748347. The cubic root of 40446000 is about 343.2615763151.

It can be divided in two parts, 40 and 446000, that added together give a triangular number (446040 = T₉₄₄).

The spelling of 40446000 in words is "forty million, four hundred forty-six thousand".