451630361 has 48 divisors (see below), whose sum is σ = 598717440. Its totient is φ = 332579520.

The previous prime is 451630357. The next prime is 451630363. The reversal of 451630361 is 163036154.

It is a happy number.

It is not a de Polignac number, because 451630361 - 2² = 451630357 is a prime.

It is not an unprimeable number, because it can be changed into a prime (451630363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1595726 + ... + 1596008.

It is an arithmetic number, because the mean of its divisors is an integer number (12473280).

Almost surely, 2^451630361 is an apocalyptic number.

It is an amenable number.

451630361 is a deficient number, since it is larger than the sum of its proper divisors (147087079).

451630361 is a wasteful number, since it uses less digits than its factorization.

451630361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 451630361 is about 21251.5966694270. The cubic root of 451630361 is about 767.2337695938.

The spelling of 451630361 in words is "four hundred fifty-one million, six hundred thirty thousand, three hundred sixty-one".