415013000 has 32 divisors (see below), whose sum is σ = 971132760. Its totient is φ = 166004800.

The previous prime is 415012999. The next prime is 415013003. The reversal of 415013000 is 310514.

It can be written as a sum of positive squares in 4 ways, for example, as 43217476 + 371795524 = 6574^2 + 19282^2 .

It is not an unprimeable number, because it can be changed into a prime (415013003) 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, 206507 + ... + 208506.

Almost surely, 2^415013000 is an apocalyptic number.

415013000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

415013000 is an abundant number, since it is smaller than the sum of its proper divisors (556119760).

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

415013000 is a wasteful number, since it uses less digits than its factorization.

415013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415034 (or 415020 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 415013000 is about 20371.8678574155. The cubic root of 415013000 is about 745.9113810594.

Adding to 415013000 its reverse (310514), we get a palindrome (415323514).

The spelling of 415013000 in words is "four hundred fifteen million, thirteen thousand".