4646772 has 36 divisors (see below), whose sum is σ = 12650820. Its totient is φ = 1429632.

The previous prime is 4646753. The next prime is 4646777. The reversal of 4646772 is 2776464.

4646772 is a `hidden beast` number, since 4 + 646 + 7 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 820836 + 3825936 = 906^2 + 1956^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4646777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4497 + ... + 5432.

Almost surely, 2^4646772 is an apocalyptic number.

It is an amenable number.

4646772 is an abundant number, since it is smaller than the sum of its proper divisors (8004048).

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

4646772 is a wasteful number, since it uses less digits than its factorization.

4646772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9952 (or 9947 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 4646772 is about 2155.6372607654. The cubic root of 4646772 is about 166.8721217363.

It can be divided in two parts, 46 and 46772, that multiplied together give a palindrome (2151512).

The spelling of 4646772 in words is "four million, six hundred forty-six thousand, seven hundred seventy-two".