456322772 has 72 divisors (see below), whose sum is σ = 924595560. Its totient is φ = 196116480.

The previous prime is 456322733. The next prime is 456322777. The reversal of 456322772 is 277223654.

It can be written as a sum of positive squares in 4 ways, for example, as 228735376 + 227587396 = 15124^2 + 15086^2 .

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456322777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 711572 + ... + 712212.

It is an arithmetic number, because the mean of its divisors is an integer number (12841605).

Almost surely, 2^456322772 is an apocalyptic number.

It is an amenable number.

456322772 is an abundant number, since it is smaller than the sum of its proper divisors (468272788).

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

456322772 is a wasteful number, since it uses less digits than its factorization.

456322772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729 (or 708 counting only the distinct ones).

The product of its digits is 141120, while the sum is 38.

The square root of 456322772 is about 21361.7127590463. The cubic root of 456322772 is about 769.8817899154.

The spelling of 456322772 in words is "four hundred fifty-six million, three hundred twenty-two thousand, seven hundred seventy-two".