456023200 has 36 divisors (see below), whose sum is σ = 1113268590. Its totient is φ = 182408960.

The previous prime is 456023143. The next prime is 456023201. The reversal of 456023200 is 2320654.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 446561424 + 9461776 = 21132^2 + 3076^2 .

It is not an unprimeable number, because it can be changed into a prime (456023201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 284215 + ... + 285814.

Almost surely, 2^456023200 is an apocalyptic number.

456023200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

456023200 is an abundant number, since it is smaller than the sum of its proper divisors (657245390).

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

456023200 is a wasteful number, since it uses less digits than its factorization.

456023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570049 (or 570036 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 456023200 is about 21354.6997169241. The cubic root of 456023200 is about 769.7132794296.

Adding to 456023200 its reverse (2320654), we get a palindrome (458343854).

It can be divided in two parts, 45602 and 3200, that multiplied together give a square (145926400 = 12080²).

The spelling of 456023200 in words is "four hundred fifty-six million, twenty-three thousand, two hundred".