832405464 has 96 divisors (see below), whose sum is σ = 2541630000. Its totient is φ = 252236160.

The previous prime is 832405421. The next prime is 832405471. The reversal of 832405464 is 464504238.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 10212 + ... + 42060.

Almost surely, 2^832405464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 832405464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270815000).

832405464 is an abundant number, since it is smaller than the sum of its proper divisors (1709224536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

832405464 is a wasteful number, since it uses less digits than its factorization.

832405464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31886 (or 31865 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 832405464 is about 28851.4378151246. The cubic root of 832405464 is about 940.6866357834.

The spelling of 832405464 in words is "eight hundred thirty-two million, four hundred five thousand, four hundred sixty-four".