413857440 has 288 divisors, whose sum is σ = 1489453056. Its totient is φ = 104509440.

The previous prime is 413857439. The next prime is 413857453. The reversal of 413857440 is 44758314.

413857440 is a `hidden beast` number, since 41 + 3 + 8 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 413857395 and 413857404.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3258657 + ... + 3258783.

It is an arithmetic number, because the mean of its divisors is an integer number (5171712).

Almost surely, 2^413857440 is an apocalyptic number.

413857440 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 413857440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744726528).

413857440 is an abundant number, since it is smaller than the sum of its proper divisors (1075595616).

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

413857440 is a wasteful number, since it uses less digits than its factorization.

413857440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 413857440 is about 20343.4864268640. The cubic root of 413857440 is about 745.2184336144.

The spelling of 413857440 in words is "four hundred thirteen million, eight hundred fifty-seven thousand, four hundred forty".