475514820 has 288 divisors, whose sum is σ = 1720575360. Its totient is φ = 108103680.

The previous prime is 475514813. The next prime is 475514863. The reversal of 475514820 is 28415574.

475514820 is a `hidden beast` number, since 47 + 551 + 48 + 20 = 666.

It is a super-2 number, since 2×475514820² = 452228688079264800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1716522 + ... + 1716798.

It is an arithmetic number, because the mean of its divisors is an integer number (5974220).

Almost surely, 2^475514820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 475514820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860287680).

475514820 is an abundant number, since it is smaller than the sum of its proper divisors (1245060540).

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

475514820 is a wasteful number, since it uses less digits than its factorization.

475514820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 475514820 is about 21806.3023000233. The cubic root of 475514820 is about 780.5271584357.

The spelling of 475514820 in words is "four hundred seventy-five million, five hundred fourteen thousand, eight hundred twenty".