413002962 has 80 divisors (see below), whose sum is σ = 983875200. Its totient is φ = 129120480.

The previous prime is 413002957. The next prime is 413003021. The reversal of 413002962 is 269200314.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 334887 + ... + 336117.

It is an arithmetic number, because the mean of its divisors is an integer number (12298440).

Almost surely, 2^413002962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413002962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491937600).

413002962 is an abundant number, since it is smaller than the sum of its proper divisors (570872238).

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

413002962 is a wasteful number, since it uses less digits than its factorization.

413002962 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1364 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 413002962 is about 20322.4743080167. The cubic root of 413002962 is about 744.7052041463.

It can be divided in two parts, 41 and 3002962, that added together give a palindrome (3003003).

The spelling of 413002962 in words is "four hundred thirteen million, two thousand, nine hundred sixty-two".