807400461 has 16 divisors (see below), whose sum is σ = 1245900800. Its totient is φ = 455530608.

The previous prime is 807400457. The next prime is 807400501. The reversal of 807400461 is 164004708.

807400461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 807400461 - 2² = 807400457 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (807400361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241681 + ... + 244998.

It is an arithmetic number, because the mean of its divisors is an integer number (77868800).

Almost surely, 2^807400461 is an apocalyptic number.

It is an amenable number.

807400461 is a deficient number, since it is larger than the sum of its proper divisors (438500339).

807400461 is a wasteful number, since it uses less digits than its factorization.

807400461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486768.

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 807400461 is about 28414.7929959027. The cubic root of 807400461 is about 931.1714766696.

The spelling of 807400461 in words is "eight hundred seven million, four hundred thousand, four hundred sixty-one".