407004741 has 24 divisors (see below), whose sum is σ = 690676896. Its totient is φ = 227694240.

The previous prime is 407004733. The next prime is 407004751. The reversal of 407004741 is 147400704.

It is not a de Polignac number, because 407004741 - 2³ = 407004733 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407004721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156835 + ... + 159408.

It is an arithmetic number, because the mean of its divisors is an integer number (28778204).

Almost surely, 2^407004741 is an apocalyptic number.

It is an amenable number.

407004741 is a deficient number, since it is larger than the sum of its proper divisors (283672155).

407004741 is a wasteful number, since it uses less digits than its factorization.

407004741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316273 (or 316270 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 407004741 is about 20174.3585028124. The cubic root of 407004741 is about 741.0823830558.

The spelling of 407004741 in words is "four hundred seven million, four thousand, seven hundred forty-one".