46441472 has 176 divisors, whose sum is σ = 125767680. Its totient is φ = 16588800.

The previous prime is 46441463. The next prime is 46441477. The reversal of 46441472 is 27414464.

It is a tau number, because it is divible by the number of its divisors (176).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (46441477) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1498097 + ... + 1498127.

Almost surely, 2^46441472 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 46441472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62883840).

46441472 is an abundant number, since it is smaller than the sum of its proper divisors (79326208).

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

46441472 is a wasteful number, since it uses less digits than its factorization.

46441472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 70 counting only the distinct ones).

The product of its digits is 21504, while the sum is 32.

The square root of 46441472 is about 6814.7980160824. The cubic root of 46441472 is about 359.4473825923.

It can be divided in two parts, 4644 and 1472, that added together give a palindrome (6116).

The spelling of 46441472 in words is "forty-six million, four hundred forty-one thousand, four hundred seventy-two".