477208085562420 has 192 divisors, whose sum is σ = 1370987564728320. Its totient is φ = 123956962601472.

The previous prime is 477208085562401. The next prime is 477208085562443. The reversal of 477208085562420 is 24265580802774.

It is a happy number.

It is a super-3 number, since 3×477208085562420³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10305288907 + ... + 10305335213.

It is an arithmetic number, because the mean of its divisors is an integer number (7140560232960).

Almost surely, 2^{477208085562420} 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 477208085562420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685493782364160).

477208085562420 is an abundant number, since it is smaller than the sum of its proper divisors (893779479165900).

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

477208085562420 is a wasteful number, since it uses less digits than its factorization.

477208085562420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57174 (or 57172 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 60.

The spelling of 477208085562420 in words is "four hundred seventy-seven trillion, two hundred eight billion, eighty-five million, five hundred sixty-two thousand, four hundred twenty".