475970000 has 100 divisors (see below), whose sum is σ = 1257422496. Its totient is φ = 173040000.

The previous prime is 475969997. The next prime is 475970009. The reversal of 475970000 is 79574.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (475970009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 107837 + ... + 112163.

Almost surely, 2^475970000 is an apocalyptic number.

475970000 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 475970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628711248).

475970000 is an abundant number, since it is smaller than the sum of its proper divisors (781452496).

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

475970000 is a wasteful number, since it uses less digits than its factorization.

475970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 32.

The square root of 475970000 is about 21816.7366945655. The cubic root of 475970000 is about 780.7761286289.

The spelling of 475970000 in words is "four hundred seventy-five million, nine hundred seventy thousand".