413629440 has 176 divisors, whose sum is σ = 1512356352. Its totient is φ = 94519296.

The previous prime is 413629439. The next prime is 413629453. The reversal of 413629440 is 44926314.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105597 + ... + 109443.

Almost surely, 2^413629440 is an apocalyptic number.

413629440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 413629440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756178176).

413629440 is an abundant number, since it is smaller than the sum of its proper divisors (1098726912).

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

413629440 is a wasteful number, since it uses less digits than its factorization.

413629440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3882 (or 3864 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 413629440 is about 20337.8818956154. The cubic root of 413629440 is about 745.0815579676.

The spelling of 413629440 in words is "four hundred thirteen million, six hundred twenty-nine thousand, four hundred forty".