46446444 has 72 divisors (see below), whose sum is σ = 130555152. Its totient is φ = 13802880.

The previous prime is 46446427. The next prime is 46446451. The reversal of 46446444 is 44464464.

46446444 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 644 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 46446399 and 46446408.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19882 + ... + 22094.

It is an arithmetic number, because the mean of its divisors is an integer number (1813266).

Almost surely, 2^46446444 is an apocalyptic number.

46446444 is a gapful number since it is divisible by the number (44) 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 46446444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65277576).

46446444 is an abundant number, since it is smaller than the sum of its proper divisors (84108708).

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

46446444 is a wasteful number, since it uses less digits than its factorization.

46446444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2287 (or 2282 counting only the distinct ones).

The product of its digits is 147456, while the sum is 36.

The square root of 46446444 is about 6815.1628006967. The cubic root of 46446444 is about 359.4602095516.

The spelling of 46446444 in words is "forty-six million, four hundred forty-six thousand, four hundred forty-four".