413455680 has 336 divisors, whose sum is σ = 1605247488. Its totient is φ = 96768000.

The previous prime is 413455673. The next prime is 413455681. The reversal of 413455680 is 86554314.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413455681) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 981870 + ... + 982290.

Almost surely, 2^413455680 is an apocalyptic number.

413455680 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 413455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (802623744).

413455680 is an abundant number, since it is smaller than the sum of its proper divisors (1191791808).

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

413455680 is a wasteful number, since it uses less digits than its factorization.

413455680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 413455680 is about 20333.6096156093. The cubic root of 413455680 is about 744.9772105396.

The spelling of 413455680 in words is "four hundred thirteen million, four hundred fifty-five thousand, six hundred eighty".