480628733 has 12 divisors (see below), whose sum is σ = 521315028. Its totient is φ = 442915200.

The previous prime is 480628727. The next prime is 480628793. The reversal of 480628733 is 337826084.

It can be written as a sum of positive squares in 6 ways, for example, as 15665764 + 464962969 = 3958^2 + 21563^2 .

It is not a de Polignac number, because 480628733 - 2²² = 476434429 is a prime.

It is a super-3 number, since 3×480628733³ (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 (480628793) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116441 + ... + 120497.

It is an arithmetic number, because the mean of its divisors is an integer number (43442919).

Almost surely, 2^480628733 is an apocalyptic number.

It is an amenable number.

480628733 is a deficient number, since it is larger than the sum of its proper divisors (40686295).

480628733 is a wasteful number, since it uses less digits than its factorization.

480628733 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4771 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The square root of 480628733 is about 21923.2464064974. The cubic root of 480628733 is about 783.3152410891.

The spelling of 480628733 in words is "four hundred eighty million, six hundred twenty-eight thousand, seven hundred thirty-three".