475799520 has 384 divisors, whose sum is σ = 1872460800. Its totient is φ = 99090432.

The previous prime is 475799503. The next prime is 475799521. The reversal of 475799520 is 25997574.

475799520 = T₂₀₄ + T₂₀₅ + ... + T₁₄₁₉.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 475799520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475799521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1851232 + ... + 1851488.

It is an arithmetic number, because the mean of its divisors is an integer number (4876200).

Almost surely, 2^475799520 is an apocalyptic number.

475799520 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 475799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936230400).

475799520 is an abundant number, since it is smaller than the sum of its proper divisors (1396661280).

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

475799520 is a wasteful number, since it uses less digits than its factorization.

475799520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The square root of 475799520 is about 21812.8292525293. The cubic root of 475799520 is about 780.6828996373.

The spelling of 475799520 in words is "four hundred seventy-five million, seven hundred ninety-nine thousand, five hundred twenty".