477368420 has 72 divisors (see below), whose sum is σ = 1052244648. Its totient is φ = 181888000.

The previous prime is 477368399. The next prime is 477368459. The reversal of 477368420 is 24863774.

It can be written as a sum of positive squares in 12 ways, for example, as 1517824 + 475850596 = 1232^2 + 21814^2 .

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 23 ways as a sum of consecutive naturals, for example, 1698680 + ... + 1698960.

It is an arithmetic number, because the mean of its divisors is an integer number (14614509).

Almost surely, 2^477368420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477368420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (526122324).

477368420 is an abundant number, since it is smaller than the sum of its proper divisors (574876228).

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

477368420 is a wasteful number, since it uses less digits than its factorization.

477368420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 41.

The square root of 477368420 is about 21848.7624363487. The cubic root of 477368420 is about 781.5400320909.

The spelling of 477368420 in words is "four hundred seventy-seven million, three hundred sixty-eight thousand, four hundred twenty".