413029500 has 192 divisors, whose sum is σ = 1320883200. Its totient is φ = 99667200.

The previous prime is 413029493. The next prime is 413029517. The reversal of 413029500 is 5920314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1150321 + ... + 1150679.

It is an arithmetic number, because the mean of its divisors is an integer number (6879600).

Almost surely, 2^413029500 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 413029500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

413029500 is an abundant number, since it is smaller than the sum of its proper divisors (907853700).

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

413029500 is a wasteful number, since it uses less digits than its factorization.

413029500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 413029500 is about 20323.1272199925. The cubic root of 413029500 is about 744.7211544463.

Adding to 413029500 its reverse (5920314), we get a palindrome (418949814).

The spelling of 413029500 in words is "four hundred thirteen million, twenty-nine thousand, five hundred".