414383040 has 252 divisors, whose sum is σ = 1498619304. Its totient is φ = 108988416.

The previous prime is 414382993. The next prime is 414383069. The reversal of 414383040 is 40383414.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 414382995 and 414383013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5676444 + ... + 5676516.

It is an arithmetic number, because the mean of its divisors is an integer number (5946902).

Almost surely, 2^414383040 is an apocalyptic number.

414383040 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 414383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749309652).

414383040 is an abundant number, since it is smaller than the sum of its proper divisors (1084236264).

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

414383040 is an frugal number, since it uses more digits than its factorization.

414383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 414383040 is about 20356.4004676662. The cubic root of 414383040 is about 745.5337765911.

The spelling of 414383040 in words is "four hundred fourteen million, three hundred eighty-three thousand, forty".