414948240 has 480 divisors, whose sum is σ = 1754887680. Its totient is φ = 85671936.

The previous prime is 414948217. The next prime is 414948241. The reversal of 414948240 is 42849414.

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 = 414948195 and 414948204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414948241) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2484637 + ... + 2484803.

It is an arithmetic number, because the mean of its divisors is an integer number (3656016).

Almost surely, 2^414948240 is an apocalyptic number.

414948240 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 414948240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877443840).

414948240 is an abundant number, since it is smaller than the sum of its proper divisors (1339939440).

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

414948240 is a wasteful number, since it uses less digits than its factorization.

414948240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 414948240 is about 20370.2783486137. The cubic root of 414948240 is about 745.8725808822.

The spelling of 414948240 in words is "four hundred fourteen million, nine hundred forty-eight thousand, two hundred forty".