413904087000 has 384 divisors, whose sum is σ = 1470747620160. Its totient is φ = 108857779200.

The previous prime is 413904086977. The next prime is 413904087053. The reversal of 413904087000 is 780409314.

It is a happy number.

It is a super-3 number, since 3×413904087000³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17727334 + ... + 17750666.

Almost surely, 2^413904087000 is an apocalyptic number.

413904087000 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 413904087000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (735373810080).

413904087000 is an abundant number, since it is smaller than the sum of its proper divisors (1056843533160).

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

413904087000 is a wasteful number, since it uses less digits than its factorization.

413904087000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23442 (or 23416 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 413904087000 in words is "four hundred thirteen billion, nine hundred four million, eighty-seven thousand".