413404992 has 448 divisors, whose sum is σ = 1638604800. Its totient is φ = 98703360.

The previous prime is 413404987. The next prime is 413405029. The reversal of 413404992 is 299404314.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 1729609 + ... + 1729847.

It is an arithmetic number, because the mean of its divisors is an integer number (3657600).

Almost surely, 2^413404992 is an apocalyptic number.

413404992 is a gapful number since it is divisible by the number (42) 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 413404992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819302400).

413404992 is an abundant number, since it is smaller than the sum of its proper divisors (1225199808).

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

413404992 is a wasteful number, since it uses less digits than its factorization.

413404992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 413404992 is about 20332.3631681121. The cubic root of 413404992 is about 744.9467655609.

The spelling of 413404992 in words is "four hundred thirteen million, four hundred four thousand, nine hundred ninety-two".