413496600 has 384 divisors, whose sum is σ = 1508474880. Its totient is φ = 92736000.

The previous prime is 413496533. The next prime is 413496667. The reversal of 413496600 is 6694314.

It is an interprime number because it is at equal distance from previous prime (413496533) and next prime (413496667).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 8797777 + ... + 8797823.

It is an arithmetic number, because the mean of its divisors is an integer number (3928320).

Almost surely, 2^413496600 is an apocalyptic number.

413496600 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 413496600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

413496600 is an abundant number, since it is smaller than the sum of its proper divisors (1094978280).

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

413496600 is a wasteful number, since it uses less digits than its factorization.

413496600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 413496600 is about 20334.6158065502. The cubic root of 413496600 is about 745.0017867020.

The spelling of 413496600 in words is "four hundred thirteen million, four hundred ninety-six thousand, six hundred".