413928 has 24 divisors (see below), whose sum is σ = 1121250. Its totient is φ = 137952.

The previous prime is 413923. The next prime is 413951. The reversal of 413928 is 829314.

It can be written as a sum of positive squares in only one way, i.e., 412164 + 1764 = 642^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-4 number, since 4×413928⁴ (a number of 24 digits) contains 4444 as substring.

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

It is one of the 548 Lynch-Bell numbers.

It is not an unprimeable number, because it can be changed into a prime (413923) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2803 + ... + 2946.

2⁴¹³⁹²⁸ is an apocalyptic number.

It is an amenable number.

413928 is an abundant number, since it is smaller than the sum of its proper divisors (707322).

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

413928 is a wasteful number, since it uses less digits than its factorization.

413928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5761 (or 5754 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 413928 is about 643.3723649645. The cubic root of 413928 is about 74.5260782839.

It can be divided in two parts, 41 and 3928, that added together give a square (3969 = 63²).

The spelling of 413928 in words is "four hundred thirteen thousand, nine hundred twenty-eight".