413955840 has 288 divisors, whose sum is σ = 1424586240. Its totient is φ = 102187008.

The previous prime is 413955827. The next prime is 413955851. The reversal of 413955840 is 48559314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3797706 + ... + 3797814.

It is an arithmetic number, because the mean of its divisors is an integer number (4946480).

Almost surely, 2^413955840 is an apocalyptic number.

413955840 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 413955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712293120).

413955840 is an abundant number, since it is smaller than the sum of its proper divisors (1010630400).

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

413955840 is a wasteful number, since it uses less digits than its factorization.

413955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 413955840 is about 20345.9047476390. The cubic root of 413955840 is about 745.2774907323.

The spelling of 413955840 in words is "four hundred thirteen million, nine hundred fifty-five thousand, eight hundred forty".