413256384 has 224 divisors, whose sum is σ = 1314297600. Its totient is φ = 126904320.

The previous prime is 413256329. The next prime is 413256401. The reversal of 413256384 is 483652314.

413256384 is a `hidden beast` number, since 4 + 13 + 2 + 5 + 638 + 4 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1345959 + ... + 1346265.

It is an arithmetic number, because the mean of its divisors is an integer number (5867400).

Almost surely, 2^413256384 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 413256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657148800).

413256384 is an abundant number, since it is smaller than the sum of its proper divisors (901041216).

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

413256384 is a wasteful number, since it uses less digits than its factorization.

413256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 372 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 413256384 is about 20328.7083701843. The cubic root of 413256384 is about 744.8574920730.

It can be divided in two parts, 4132 and 56384, that added together give a square (60516 = 246²).

The spelling of 413256384 in words is "four hundred thirteen million, two hundred fifty-six thousand, three hundred eighty-four".