479610432 has 126 divisors (see below), whose sum is σ = 1599254358. Its totient is φ = 137023488.

The previous prime is 479610427. The next prime is 479610463. The reversal of 479610432 is 234016974.

479610432 is a `hidden beast` number, since 4 + 7 + 9 + 610 + 4 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 329204736 + 150405696 = 18144^2 + 12264^2 .

It is a tau number, because it is divible by the number of its divisors (126).

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

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 19728 + ... + 36720.

Almost surely, 2^479610432 is an apocalyptic number.

479610432 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 479610432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799627179).

479610432 is an abundant number, since it is smaller than the sum of its proper divisors (1119643926).

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

479610432 is a wasteful number, since it uses less digits than its factorization.

479610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17025 (or 17005 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 479610432 is about 21900.0098630115. The cubic root of 479610432 is about 782.7616504649.

The spelling of 479610432 in words is "four hundred seventy-nine million, six hundred ten thousand, four hundred thirty-two".