802438461 has 32 divisors (see below), whose sum is σ = 1305206400. Its totient is φ = 483200640.

The previous prime is 802438459. The next prime is 802438463. The reversal of 802438461 is 164834208.

It is an interprime number because it is at equal distance from previous prime (802438459) and next prime (802438463).

It is not a de Polignac number, because 802438461 - 2¹ = 802438459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (802438463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38025 + ... + 55233.

It is an arithmetic number, because the mean of its divisors is an integer number (40787700).

Almost surely, 2^802438461 is an apocalyptic number.

It is an amenable number.

802438461 is a deficient number, since it is larger than the sum of its proper divisors (502767939).

802438461 is a wasteful number, since it uses less digits than its factorization.

802438461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17386 (or 17380 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 802438461 is about 28327.3447573189. The cubic root of 802438461 is about 929.2600044782.

The spelling of 802438461 in words is "eight hundred two million, four hundred thirty-eight thousand, four hundred sixty-one".