413494960 has 20 divisors (see below), whose sum is σ = 961375968. Its totient is φ = 165397952.

The previous prime is 413494903. The next prime is 413494969. The reversal of 413494960 is 69494314.

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 not an unprimeable number, because it can be changed into a prime (413494969) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2584264 + ... + 2584423.

Almost surely, 2^413494960 is an apocalyptic number.

413494960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413494960 is an abundant number, since it is smaller than the sum of its proper divisors (547881008).

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

413494960 is a wasteful number, since it uses less digits than its factorization.

413494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5168700 (or 5168694 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 40.

The square root of 413494960 is about 20334.5754811847. The cubic root of 413494960 is about 745.0008017648. Note that the first 3 decimals are identical.

The spelling of 413494960 in words is "four hundred thirteen million, four hundred ninety-four thousand, nine hundred sixty".