456029900 has 36 divisors (see below), whose sum is σ = 1005821040. Its totient is φ = 179419200.

The previous prime is 456029867. The next prime is 456029909. The reversal of 456029900 is 9920654.

It is not an unprimeable number, because it can be changed into a prime (456029909) 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 11 ways as a sum of consecutive naturals, for example, 31280 + ... + 43479.

Almost surely, 2^456029900 is an apocalyptic number.

It is an amenable number.

456029900 is an abundant number, since it is smaller than the sum of its proper divisors (549791140).

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

456029900 is a wasteful number, since it uses less digits than its factorization.

456029900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74834 (or 74827 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 456029900 is about 21354.8565904808. The cubic root of 456029900 is about 769.7170490140.

The spelling of 456029900 in words is "four hundred fifty-six million, twenty-nine thousand, nine hundred".