407734641 has 10 divisors (see below), whose sum is σ = 609085202. Its totient is φ = 271823040.

The previous prime is 407734637. The next prime is 407734669. The reversal of 407734641 is 146437704.

It is a happy number.

407734641 is a `hidden beast` number, since 4 + 0 + 7 + 7 + 3 + 4 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 253478241 + 154256400 = 15921^2 + 12420^2 .

It is not a de Polignac number, because 407734641 - 2² = 407734637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 407734596 and 407734605.

It is not an unprimeable number, because it can be changed into a prime (407734631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2516800 + ... + 2516961.

Almost surely, 2^407734641 is an apocalyptic number.

It is an amenable number.

407734641 is a deficient number, since it is larger than the sum of its proper divisors (201350561).

407734641 is an equidigital number, since it uses as much as digits as its factorization.

407734641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5033773 (or 5033764 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 407734641 is about 20192.4401942905. The cubic root of 407734641 is about 741.5251240110.

The spelling of 407734641 in words is "four hundred seven million, seven hundred thirty-four thousand, six hundred forty-one".