415201000 has 32 divisors (see below), whose sum is σ = 971572680. Its totient is φ = 166080000.

The previous prime is 415200959. The next prime is 415201009. The reversal of 415201000 is 102514.

It can be written as a sum of positive squares in 4 ways, for example, as 47251876 + 367949124 = 6874^2 + 19182^2 .

It is not an unprimeable number, because it can be changed into a prime (415201009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 206601 + ... + 208600.

Almost surely, 2^415201000 is an apocalyptic number.

415201000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415201000 is an abundant number, since it is smaller than the sum of its proper divisors (556371680).

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

415201000 is a wasteful number, since it uses less digits than its factorization.

415201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415222 (or 415208 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 415201000 is about 20376.4815412279. The cubic root of 415201000 is about 746.0239961423.

Adding to 415201000 its reverse (102514), we get a palindrome (415303514).

The spelling of 415201000 in words is "four hundred fifteen million, two hundred one thousand".