413234928 has 60 divisors (see below), whose sum is σ = 1206775440. Its totient is φ = 131755008.

The previous prime is 413234909. The next prime is 413234953. The reversal of 413234928 is 829432314.

413234928 is a `hidden beast` number, since 413 + 234 + 9 + 2 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 413234892 and 413234901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59073 + ... + 65696.

It is an arithmetic number, because the mean of its divisors is an integer number (20112924).

Almost surely, 2^413234928 is an apocalyptic number.

413234928 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

413234928 is an abundant number, since it is smaller than the sum of its proper divisors (793540512).

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

413234928 is a wasteful number, since it uses less digits than its factorization.

413234928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124806 (or 124797 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 413234928 is about 20328.1806367417. The cubic root of 413234928 is about 744.8446010126.

It can be divided in two parts, 4132 and 34928, that added together give a triangular number (39060 = T₂₇₉).

The spelling of 413234928 in words is "four hundred thirteen million, two hundred thirty-four thousand, nine hundred twenty-eight".