477727848 has 192 divisors, whose sum is σ = 1502064000. Its totient is φ = 140355072.

The previous prime is 477727837. The next prime is 477727853. The reversal of 477727848 is 848727774.

It is a super-2 number, since 2×477727848² = 456447793509422208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 477727794 and 477727803.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 839308 + ... + 839876.

It is an arithmetic number, because the mean of its divisors is an integer number (7823250).

Almost surely, 2^477727848 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 477727848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (751032000).

477727848 is an abundant number, since it is smaller than the sum of its proper divisors (1024336152).

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

477727848 is a wasteful number, since it uses less digits than its factorization.

477727848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 610 counting only the distinct ones).

The product of its digits is 4917248, while the sum is 54.

The square root of 477727848 is about 21856.9862515398. The cubic root of 477727848 is about 781.7361328288.

The spelling of 477727848 in words is "four hundred seventy-seven million, seven hundred twenty-seven thousand, eight hundred forty-eight".