482429509632 has 672 divisors, whose sum is σ = 1674526089600. Its totient is φ = 135937916928.

The previous prime is 482429509589. The next prime is 482429509643. The reversal of 482429509632 is 236905924284.

482429509632 is a `hidden beast` number, since 4 + 82 + 4 + 29 + 509 + 6 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240178494 + ... + 1240178882.

It is an arithmetic number, because the mean of its divisors is an integer number (2491854300).

Almost surely, 2^482429509632 is an apocalyptic number.

482429509632 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 482429509632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (837263044800).

482429509632 is an abundant number, since it is smaller than the sum of its proper divisors (1192096579968).

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

482429509632 is an frugal number, since it uses more digits than its factorization.

482429509632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 482429509632 in words is "four hundred eighty-two billion, four hundred twenty-nine million, five hundred nine thousand, six hundred thirty-two".