413129840 has 20 divisors (see below), whose sum is σ = 960527064. Its totient is φ = 165251904.

The previous prime is 413129837. The next prime is 413129851. The reversal of 413129840 is 48921314.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 413129797 and 413129806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2581982 + ... + 2582141.

Almost surely, 2^413129840 is an apocalyptic number.

413129840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413129840 is an abundant number, since it is smaller than the sum of its proper divisors (547397224).

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

413129840 is a wasteful number, since it uses less digits than its factorization.

413129840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164136 (or 5164130 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 413129840 is about 20325.5956862277. The cubic root of 413129840 is about 744.7814562490.

The spelling of 413129840 in words is "four hundred thirteen million, one hundred twenty-nine thousand, eight hundred forty".