473265408 has 288 divisors, whose sum is σ = 1610606592. Its totient is φ = 119808000.

The previous prime is 473265407. The next prime is 473265427. The reversal of 473265408 is 804562374.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473265407) 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, 3134133 + ... + 3134283.

It is an arithmetic number, because the mean of its divisors is an integer number (5592384).

Almost surely, 2^473265408 is an apocalyptic number.

473265408 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 473265408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805303296).

473265408 is an abundant number, since it is smaller than the sum of its proper divisors (1137341184).

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

473265408 is a wasteful number, since it uses less digits than its factorization.

473265408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 39.

The square root of 473265408 is about 21754.6640516465. The cubic root of 473265408 is about 779.2944573315.

The spelling of 473265408 in words is "four hundred seventy-three million, two hundred sixty-five thousand, four hundred eight".