413247744 has 432 divisors, whose sum is σ = 1541601152. Its totient is φ = 107495424.

The previous prime is 413247727. The next prime is 413247749. The reversal of 413247744 is 447742314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (75264) is a multiple of the sum of its prime divisors (98).

It is a junction number, because it is equal to n+sod(n) for n = 413247699 and 413247708.

It is not an unprimeable number, because it can be changed into a prime (413247749) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660892 + ... + 5660964.

Almost surely, 2^413247744 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 413247744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770800576).

413247744 is an abundant number, since it is smaller than the sum of its proper divisors (1128353408).

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

413247744 is an equidigital number, since it uses as much as digits as its factorization.

413247744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 98 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 413247744 is about 20328.4958617208. The cubic root of 413247744 is about 744.8523010956.

The spelling of 413247744 in words is "four hundred thirteen million, two hundred forty-seven thousand, seven hundred forty-four".