407946240 has 352 divisors, whose sum is σ = 1568165760. Its totient is φ = 99975168.

The previous prime is 407946199. The next prime is 407946293. The reversal of 407946240 is 42649704.

407946240 is a `hidden beast` number, since 407 + 9 + 4 + 6 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 407946195 and 407946204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1797007 + ... + 1797233.

Almost surely, 2^407946240 is an apocalyptic number.

407946240 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 407946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784082880).

407946240 is an abundant number, since it is smaller than the sum of its proper divisors (1160219520).

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

407946240 is a wasteful number, since it uses less digits than its factorization.

407946240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 407946240 is about 20197.6790745868. The cubic root of 407946240 is about 741.6533764118.

The spelling of 407946240 in words is "four hundred seven million, nine hundred forty-six thousand, two hundred forty".