413070 has 48 divisors (see below), whose sum is σ = 1157328. Its totient is φ = 94080.

The previous prime is 413069. The next prime is 413071. The reversal of 413070 is 70314.

It is an interprime number because it is at equal distance from previous prime (413069) and next prime (413071).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an Ulam number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413071) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1330 + ... + 1610.

It is an arithmetic number, because the mean of its divisors is an integer number (24111).

2⁴¹³⁰⁷⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578664).

413070 is an abundant number, since it is smaller than the sum of its proper divisors (744258).

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

413070 is a wasteful number, since it uses less digits than its factorization.

413070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 15.

The square root of 413070 is about 642.7052201437. The cubic root of 413070 is about 74.4745495097.

Adding to 413070 its reverse (70314), we get a palindrome (483384).

The spelling of 413070 in words is "four hundred thirteen thousand, seventy".