413682000 has 80 divisors (see below), whose sum is σ = 1333730112. Its totient is φ = 110313600.

The previous prime is 413681977. The next prime is 413682001. The reversal of 413682000 is 286314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×413682000³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413682001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28474 + ... + 40473.

Almost surely, 2^413682000 is an apocalyptic number.

413682000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413682000 is an abundant number, since it is smaller than the sum of its proper divisors (920048112).

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

413682000 is a wasteful number, since it uses less digits than its factorization.

413682000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68973 (or 68957 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 413682000 is about 20339.1740245272. The cubic root of 413682000 is about 745.1131158664.

The spelling of 413682000 in words is "four hundred thirteen million, six hundred eighty-two thousand".