413962960 has 20 divisors (see below), whose sum is σ = 962464068. Its totient is φ = 165585152.

The previous prime is 413962951. The next prime is 413962979. The reversal of 413962960 is 69269314.

It can be written as a sum of positive squares in 2 ways, for example, as 296803984 + 117158976 = 17228^2 + 10824^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 2587189 + ... + 2587348.

Almost surely, 2^413962960 is an apocalyptic number.

413962960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413962960 is an abundant number, since it is smaller than the sum of its proper divisors (548501108).

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

413962960 is a wasteful number, since it uses less digits than its factorization.

413962960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5174550 (or 5174544 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The square root of 413962960 is about 20346.0797206735. The cubic root of 413962960 is about 745.2817636079.

The spelling of 413962960 in words is "four hundred thirteen million, nine hundred sixty-two thousand, nine hundred sixty".