475354000 has 320 divisors, whose sum is σ = 1403910144. Its totient is φ = 153600000.

The previous prime is 475353953. The next prime is 475354001. The reversal of 475354000 is 453574.

It is a super-2 number, since 2×475354000² = 451922850632000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 475354000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475354001) 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 63 ways as a sum of consecutive naturals, for example, 11593980 + ... + 11594020.

Almost surely, 2^475354000 is an apocalyptic number.

475354000 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 475354000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701955072).

475354000 is an abundant number, since it is smaller than the sum of its proper divisors (928556144).

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

475354000 is a wasteful number, since it uses less digits than its factorization.

475354000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 28.

The square root of 475354000 is about 21802.6145221164. The cubic root of 475354000 is about 780.4391566000.

The spelling of 475354000 in words is "four hundred seventy-five million, three hundred fifty-four thousand".