407550240 has 144 divisors (see below), whose sum is σ = 1410180408. Its totient is φ = 107163648.

The previous prime is 407550223. The next prime is 407550257. The reversal of 407550240 is 42055704.

It is an interprime number because it is at equal distance from previous prime (407550223) and next prime (407550257).

It can be written as a sum of positive squares in 4 ways, for example, as 293231376 + 114318864 = 17124^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 103182 + ... + 107058.

Almost surely, 2^407550240 is an apocalyptic number.

407550240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407550240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705090204).

407550240 is an abundant number, since it is smaller than the sum of its proper divisors (1002630168).

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

407550240 is a wasteful number, since it uses less digits than its factorization.

407550240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3960 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 407550240 is about 20187.8735878745. The cubic root of 407550240 is about 741.4133204184.

The spelling of 407550240 in words is "four hundred seven million, five hundred fifty thousand, two hundred forty".