409362240 has 112 divisors (see below), whose sum is σ = 1485424512. Its totient is φ = 93566976.

The previous prime is 409362229. The next prime is 409362241. The reversal of 409362240 is 42263904.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 409362198 and 409362207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409362241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23739 + ... + 37178.

Almost surely, 2^409362240 is an apocalyptic number.

409362240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

409362240 is an abundant number, since it is smaller than the sum of its proper divisors (1076062272).

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

409362240 is a wasteful number, since it uses less digits than its factorization.

409362240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60944 (or 60934 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 409362240 is about 20232.7022416681. The cubic root of 409362240 is about 742.5104897111.

The spelling of 409362240 in words is "four hundred nine million, three hundred sixty-two thousand, two hundred forty".