477096048 has 160 divisors (see below), whose sum is σ = 1609063680. Its totient is φ = 133436160.

The previous prime is 477096047. The next prime is 477096077. The reversal of 477096048 is 840690774.

It is a junction number, because it is equal to n+sod(n) for n = 477095994 and 477096012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477096043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57915 + ... + 65637.

It is an arithmetic number, because the mean of its divisors is an integer number (10056648).

Almost surely, 2^477096048 is an apocalyptic number.

477096048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 477096048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804531840).

477096048 is an abundant number, since it is smaller than the sum of its proper divisors (1131967632).

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

477096048 is a wasteful number, since it uses less digits than its factorization.

477096048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7764 (or 7752 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 477096048 is about 21842.5284250702. The cubic root of 477096048 is about 781.3913627674.

The spelling of 477096048 in words is "four hundred seventy-seven million, ninety-six thousand, forty-eight".