480936040 has 32 divisors (see below), whose sum is σ = 1165346280. Its totient is φ = 177576192.

The previous prime is 480935993. The next prime is 480936067. The reversal of 480936040 is 40639084.

It can be written as a sum of positive squares in 4 ways, for example, as 328116996 + 152819044 = 18114^2 + 12362^2 .

It is a super-3 number, since 3×480936040³ (a number of 27 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 480935987 and 480936005.

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 7 ways as a sum of consecutive naturals, for example, 461919 + ... + 462958.

Almost surely, 2^480936040 is an apocalyptic number.

480936040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

480936040 is an abundant number, since it is smaller than the sum of its proper divisors (684410240).

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

480936040 is a wasteful number, since it uses less digits than its factorization.

480936040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924901 (or 924897 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 480936040 is about 21930.2539884973. The cubic root of 480936040 is about 783.4821522998.

The spelling of 480936040 in words is "four hundred eighty million, nine hundred thirty-six thousand, forty".