409459488 has 48 divisors (see below), whose sum is σ = 1097712000. Its totient is φ = 133581056.

The previous prime is 409459483. The next prime is 409459489. The reversal of 409459488 is 884954904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 409459488.

It is not an unprimeable number, because it can be changed into a prime (409459483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40863 + ... + 49886.

It is an arithmetic number, because the mean of its divisors is an integer number (22869000).

Almost surely, 2^409459488 is an apocalyptic number.

409459488 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

409459488 is an abundant number, since it is smaller than the sum of its proper divisors (688252512).

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

409459488 is a wasteful number, since it uses less digits than its factorization.

409459488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90809 (or 90801 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 409459488 is about 20235.1053370127. The cubic root of 409459488 is about 742.5692819298.

The spelling of 409459488 in words is "four hundred nine million, four hundred fifty-nine thousand, four hundred eighty-eight".