477828045 has 32 divisors (see below), whose sum is σ = 851472000. Its totient is φ = 254241792.

The previous prime is 477828023. The next prime is 477828073. The reversal of 477828045 is 540828774.

It is not a de Polignac number, because 477828045 - 2⁹ = 477827533 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56674 + ... + 64556.

It is an arithmetic number, because the mean of its divisors is an integer number (26608500).

Almost surely, 2^477828045 is an apocalyptic number.

477828045 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

477828045 is a deficient number, since it is larger than the sum of its proper divisors (373643955).

477828045 is a wasteful number, since it uses less digits than its factorization.

477828045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8346 (or 8340 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The square root of 477828045 is about 21859.2782360260. The cubic root of 477828045 is about 781.7907818933.

It can be divided in two parts, 4778 and 28045, that added together give a palindrome (32823).

The spelling of 477828045 in words is "four hundred seventy-seven million, eight hundred twenty-eight thousand, forty-five".