477531936 has 288 divisors, whose sum is σ = 1667248128. Its totient is φ = 131569920.

The previous prime is 477531931. The next prime is 477531947. The reversal of 477531936 is 639135774.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 477531891 and 477531900.

It is not an unprimeable number, because it can be changed into a prime (477531931) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1687251 + ... + 1687533.

It is an arithmetic number, because the mean of its divisors is an integer number (5789056).

Almost surely, 2^477531936 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 477531936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833624064).

477531936 is an abundant number, since it is smaller than the sum of its proper divisors (1189716192).

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

477531936 is a wasteful number, since it uses less digits than its factorization.

477531936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 326 counting only the distinct ones).

The product of its digits is 476280, while the sum is 45.

The square root of 477531936 is about 21852.5041128014. The cubic root of 477531936 is about 781.6292571743.

The spelling of 477531936 in words is "four hundred seventy-seven million, five hundred thirty-one thousand, nine hundred thirty-six".