456400229476 has 27 divisors (see below), whose sum is σ = 804384419097. Its totient is φ = 226587519600.

The previous prime is 456400229473. The next prime is 456400229489. The reversal of 456400229476 is 674922004654.

The square root of 456400229476 is 675574.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 362994200100 + 93406029376 = 602490^2 + 305624^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456400229473) 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 8 ways as a sum of consecutive naturals, for example, 204022230 + ... + 204024466.

Almost surely, 2^456400229476 is an apocalyptic number.

456400229476 is the 675574-th square number.

It is an amenable number.

456400229476 is a deficient number, since it is larger than the sum of its proper divisors (347984189621).

456400229476 is an frugal number, since it uses more digits than its factorization.

456400229476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4780 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 49.

Multiplying 456400229476 by its sum of digits (49), we get a square (22363611244324 = 4729018²).

The spelling of 456400229476 in words is "four hundred fifty-six billion, four hundred million, two hundred twenty-nine thousand, four hundred seventy-six".