413097984 has 168 divisors, whose sum is σ = 1288096992. Its totient is φ = 126812160.

The previous prime is 413097973. The next prime is 413097991. The reversal of 413097984 is 489790314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 958249 + ... + 958679.

It is an arithmetic number, because the mean of its divisors is an integer number (7667244).

Almost surely, 2^413097984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413097984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (644048496).

413097984 is an abundant number, since it is smaller than the sum of its proper divisors (874999008).

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

413097984 is a wasteful number, since it uses less digits than its factorization.

413097984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 413097984 is about 20324.8120286511. The cubic root of 413097984 is about 744.7623126565.

The spelling of 413097984 in words is "four hundred thirteen million, ninety-seven thousand, nine hundred eighty-four".