413697024 has 176 divisors, whose sum is σ = 1320560640. Its totient is φ = 127180800.

The previous prime is 413697019. The next prime is 413697029. The reversal of 413697024 is 420796314.

It is an interprime number because it is at equal distance from previous prime (413697019) and next prime (413697029).

It is a super-2 number, since 2×413697024² = 342290455332913152, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 413697024.

It is not an unprimeable number, because it can be changed into a prime (413697029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358849 + ... + 359999.

Almost surely, 2^413697024 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 413697024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660280320).

413697024 is an abundant number, since it is smaller than the sum of its proper divisors (906863616).

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

413697024 is a wasteful number, since it uses less digits than its factorization.

413697024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 413697024 is about 20339.5433577059. The cubic root of 413697024 is about 745.1221360348.

The spelling of 413697024 in words is "four hundred thirteen million, six hundred ninety-seven thousand, twenty-four".