480972429 has 24 divisors (see below), whose sum is σ = 794918592. Its totient is φ = 274518720.

The previous prime is 480972397. The next prime is 480972439. The reversal of 480972429 is 924279084.

It is not a de Polignac number, because 480972429 - 2⁵ = 480972397 is a prime.

It is a super-3 number, since 3×480972429³ (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480972439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56034 + ... + 64044.

It is an arithmetic number, because the mean of its divisors is an integer number (33121608).

Almost surely, 2^480972429 is an apocalyptic number.

It is an amenable number.

480972429 is a deficient number, since it is larger than the sum of its proper divisors (313946163).

480972429 is a wasteful number, since it uses less digits than its factorization.

480972429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8977 (or 8974 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 480972429 is about 21931.0836257582. The cubic root of 480972429 is about 783.5019119702.

The spelling of 480972429 in words is "four hundred eighty million, nine hundred seventy-two thousand, four hundred twenty-nine".