414493740 has 192 divisors, whose sum is σ = 1378944000. Its totient is φ = 103057920.

The previous prime is 414493699. The next prime is 414493763. The reversal of 414493740 is 47394414.

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 = 414493695 and 414493704.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 728176 + ... + 728744.

It is an arithmetic number, because the mean of its divisors is an integer number (7182000).

Almost surely, 2^414493740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414493740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689472000).

414493740 is an abundant number, since it is smaller than the sum of its proper divisors (964450260).

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

414493740 is a wasteful number, since it uses less digits than its factorization.

414493740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 669 counting only the distinct ones).

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

The square root of 414493740 is about 20359.1193326234. The cubic root of 414493740 is about 745.6001590062.

The spelling of 414493740 in words is "four hundred fourteen million, four hundred ninety-three thousand, seven hundred forty".