413360600 has 72 divisors (see below), whose sum is σ = 1004922660. Its totient is φ = 158114880.

The previous prime is 413360573. The next prime is 413360609. The reversal of 413360600 is 6063314.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413360609) 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 17 ways as a sum of consecutive naturals, for example, 103847 + ... + 107753.

Almost surely, 2^413360600 is an apocalyptic number.

413360600 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 413360600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502461330).

413360600 is an abundant number, since it is smaller than the sum of its proper divisors (591562060).

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

413360600 is a wasteful number, since it uses less digits than its factorization.

413360600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3969 (or 3937 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 413360600 is about 20331.2714801608. The cubic root of 413360600 is about 744.9201001350.

The spelling of 413360600 in words is "four hundred thirteen million, three hundred sixty thousand, six hundred".