409494960 has 480 divisors, whose sum is σ = 1694623680. Its totient is φ = 90574848.

The previous prime is 409494941. The next prime is 409494961. The reversal of 409494960 is 69494904.

It is a super-2 number, since 2×409494960² = 335372244530803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (409494961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5609484 + ... + 5609556.

It is an arithmetic number, because the mean of its divisors is an integer number (3530466).

Almost surely, 2^409494960 is an apocalyptic number.

409494960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409494960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (847311840).

409494960 is an abundant number, since it is smaller than the sum of its proper divisors (1285128720).

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

409494960 is a wasteful number, since it uses less digits than its factorization.

409494960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 409494960 is about 20235.9818145797. The cubic root of 409494960 is about 742.5907245533.

The spelling of 409494960 in words is "four hundred nine million, four hundred ninety-four thousand, nine hundred sixty".