473357520 has 200 divisors, whose sum is σ = 1741154184. Its totient is φ = 118775808.

The previous prime is 473357513. The next prime is 473357527. The reversal of 473357520 is 25753374.

It is an interprime number because it is at equal distance from previous prime (473357513) and next prime (473357527).

It can be written as a sum of positive squares in 4 ways, for example, as 103795344 + 369562176 = 10188^2 + 19224^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (473357527) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108012 + ... + 112308.

Almost surely, 2^473357520 is an apocalyptic number.

473357520 is a gapful number since it is divisible by the number (40) 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 473357520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870577092).

473357520 is an abundant number, since it is smaller than the sum of its proper divisors (1267796664).

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

473357520 is a wasteful number, since it uses less digits than its factorization.

473357520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4339 (or 4324 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 473357520 is about 21756.7810119052. The cubic root of 473357520 is about 779.3450122727.

The spelling of 473357520 in words is "four hundred seventy-three million, three hundred fifty-seven thousand, five hundred twenty".