413723088 has 120 divisors (see below), whose sum is σ = 1190816640. Its totient is φ = 134035200.

The previous prime is 413723083. The next prime is 413723129. The reversal of 413723088 is 880327314.

413723088 is a `hidden beast` number, since 413 + 7 + 230 + 8 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413723083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1152253 + ... + 1152611.

It is an arithmetic number, because the mean of its divisors is an integer number (9923472).

Almost surely, 2^413723088 is an apocalyptic number.

413723088 is a gapful number since it is divisible by the number (48) 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 413723088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595408320).

413723088 is an abundant number, since it is smaller than the sum of its proper divisors (777093552).

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

413723088 is a wasteful number, since it uses less digits than its factorization.

413723088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 413723088 is about 20340.1840699636. The cubic root of 413723088 is about 745.1377839240.

It can be divided in two parts, 4137 and 23088, that added together give a square (27225 = 165²).

The spelling of 413723088 in words is "four hundred thirteen million, seven hundred twenty-three thousand, eighty-eight".