456129629300 has 36 divisors (see below), whose sum is σ = 992152459116. Its totient is φ = 182018457600.

The previous prime is 456129629297. The next prime is 456129629363. The reversal of 456129629300 is 3926921654.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 48807413776 + 407322215524 = 220924^2 + 638218^2 .

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5375117 + ... + 5459316.

It is an arithmetic number, because the mean of its divisors is an integer number (27559790531).

Almost surely, 2^456129629300 is an apocalyptic number.

It is an amenable number.

456129629300 is an abundant number, since it is smaller than the sum of its proper divisors (536022829816).

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

456129629300 is a wasteful number, since it uses less digits than its factorization.

456129629300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10834868 (or 10834861 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 47.

The spelling of 456129629300 in words is "four hundred fifty-six billion, one hundred twenty-nine million, six hundred twenty-nine thousand, three hundred".