409449024 has 42 divisors (see below), whose sum is σ = 1173613350. Its totient is φ = 136482816.

The previous prime is 409449011. The next prime is 409449037. The reversal of 409449024 is 420944904.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (409449011) and next prime (409449037).

It can be written as a sum of positive squares in only one way, i.e., 345960000 + 63489024 = 18600^2 + 7968^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 409449024.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 354849 + ... + 356000.

It is an arithmetic number, because the mean of its divisors is an integer number (27943175).

Almost surely, 2^409449024 is an apocalyptic number.

It is an amenable number.

409449024 is an abundant number, since it is smaller than the sum of its proper divisors (764164326).

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

409449024 is a wasteful number, since it uses less digits than its factorization.

409449024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710867 (or 710854 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 409449024 is about 20234.8467748090. The cubic root of 409449024 is about 742.5629562644.

The spelling of 409449024 in words is "four hundred nine million, four hundred forty-nine thousand, twenty-four".