473773248 has 252 divisors, whose sum is σ = 1527584448. Its totient is φ = 140175360.

The previous prime is 473773247. The next prime is 473773249. The reversal of 473773248 is 842377374.

It is an interprime number because it is at equal distance from previous prime (473773247) and next prime (473773249).

It is a super-2 number, since 2×473773248² = 448922181040939008, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473773247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3017586 + ... + 3017742.

Almost surely, 2^473773248 is an apocalyptic number.

473773248 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 473773248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763792224).

473773248 is an abundant number, since it is smaller than the sum of its proper divisors (1053811200).

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

473773248 is a wasteful number, since it uses less digits than its factorization.

473773248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 206 counting only the distinct ones).

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

The square root of 473773248 is about 21766.3329019842. The cubic root of 473773248 is about 779.5730997300.

It can be divided in two parts, 47377 and 3248, that added together give a 4-th power (50625 = 15⁴).

The spelling of 473773248 in words is "four hundred seventy-three million, seven hundred seventy-three thousand, two hundred forty-eight".