413535000 has 160 divisors (see below), whose sum is σ = 1360814400. Its totient is φ = 104400000.

The previous prime is 413534969. The next prime is 413535011. The reversal of 413535000 is 535314.

It is a super-2 number, since 2×413535000² = 342022392450000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 284275 + ... + 285725.

It is an arithmetic number, because the mean of its divisors is an integer number (8505090).

Almost surely, 2^413535000 is an apocalyptic number.

413535000 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 413535000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680407200).

413535000 is an abundant number, since it is smaller than the sum of its proper divisors (947279400).

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

413535000 is a wasteful number, since it uses less digits than its factorization.

413535000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1499 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 413535000 is about 20335.5599873719. The cubic root of 413535000 is about 745.0248479018.

The spelling of 413535000 in words is "four hundred thirteen million, five hundred thirty-five thousand".