409813540 has 48 divisors (see below), whose sum is σ = 911498112. Its totient is φ = 154446336.

The previous prime is 409813507. The next prime is 409813631. The reversal of 409813540 is 45318904.

It is a junction number, because it is equal to n+sod(n) for n = 409813496 and 409813505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24172 + ... + 37468.

It is an arithmetic number, because the mean of its divisors is an integer number (18989544).

Almost surely, 2^409813540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409813540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455749056).

409813540 is an abundant number, since it is smaller than the sum of its proper divisors (501684572).

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

409813540 is a wasteful number, since it uses less digits than its factorization.

409813540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13396 (or 13394 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 409813540 is about 20243.8519061961. The cubic root of 409813540 is about 742.7832488840.

It can be divided in two parts, 40981 and 3540, that added together give a square (44521 = 211²).

The spelling of 409813540 in words is "four hundred nine million, eight hundred thirteen thousand, five hundred forty".