409801424 has 30 divisors (see below), whose sum is σ = 837990450. Its totient is φ = 194113728.

The previous prime is 409801423. The next prime is 409801451. The reversal of 409801424 is 424108904.

It can be written as a sum of positive squares in only one way, i.e., 381499024 + 28302400 = 19532^2 + 5320^2 .

It is a super-2 number, since 2×409801424² = 335874414224855552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409801423) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 29699 + ... + 41250.

It is an arithmetic number, because the mean of its divisors is an integer number (27933015).

Almost surely, 2^409801424 is an apocalyptic number.

It is an amenable number.

409801424 is an abundant number, since it is smaller than the sum of its proper divisors (428189026).

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

409801424 is a wasteful number, since it uses less digits than its factorization.

409801424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70995 (or 70970 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 409801424 is about 20243.5526526349. The cubic root of 409801424 is about 742.7759287659.

The spelling of 409801424 in words is "four hundred nine million, eight hundred one thousand, four hundred twenty-four".