446014072 has 48 divisors (see below), whose sum is σ = 996574320. Its totient is φ = 186480000.

The previous prime is 446014069. The next prime is 446014087. The reversal of 446014072 is 270410644.

It is a super-3 number, since 3×446014072³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 446014072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2197 + ... + 29947.

It is an arithmetic number, because the mean of its divisors is an integer number (20761965).

Almost surely, 2^446014072 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 446014072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498287160).

446014072 is an abundant number, since it is smaller than the sum of its proper divisors (550560248).

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

446014072 is a wasteful number, since it uses less digits than its factorization.

446014072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27812 (or 27801 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 446014072 is about 21119.0452435710. The cubic root of 446014072 is about 764.0401603479.

The spelling of 446014072 in words is "four hundred forty-six million, fourteen thousand, seventy-two".