477733248 has 128 divisors (see below), whose sum is σ = 1421676000. Its totient is φ = 157925376.

The previous prime is 477733247. The next prime is 477733297. The reversal of 477733248 is 842337774.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (477733241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 472968 + ... + 473976.

Almost surely, 2^477733248 is an apocalyptic number.

477733248 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 477733248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710838000).

477733248 is an abundant number, since it is smaller than the sum of its proper divisors (943942752).

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

477733248 is a wasteful number, since it uses less digits than its factorization.

477733248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1169 (or 1151 counting only the distinct ones).

The product of its digits is 790272, while the sum is 45.

The square root of 477733248 is about 21857.1097814876. The cubic root of 477733248 is about 781.7390782710.

It can be divided in two parts, 4777 and 33248, that added together give a square (38025 = 195²).

The spelling of 477733248 in words is "four hundred seventy-seven million, seven hundred thirty-three thousand, two hundred forty-eight".