477965672 has 32 divisors (see below), whose sum is σ = 957453600. Its totient is φ = 223020864.

The previous prime is 477965671. The next prime is 477965687. The reversal of 477965672 is 276569774.

It is a super-3 number, since 3×477965672³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (477965671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13283 + ... + 33650.

It is an arithmetic number, because the mean of its divisors is an integer number (29920425).

Almost surely, 2^477965672 is an apocalyptic number.

It is an amenable number.

477965672 is an abundant number, since it is smaller than the sum of its proper divisors (479487928).

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

477965672 is a wasteful number, since it uses less digits than its factorization.

477965672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47025 (or 47021 counting only the distinct ones).

The product of its digits is 4445280, while the sum is 53.

The square root of 477965672 is about 21862.4260318932. The cubic root of 477965672 is about 781.8658334330.

The spelling of 477965672 in words is "four hundred seventy-seven million, nine hundred sixty-five thousand, six hundred seventy-two".