414215010 has 192 divisors, whose sum is σ = 1260455040. Its totient is φ = 93571200.

The previous prime is 414214961. The next prime is 414215017. The reversal of 414215010 is 10512414.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414215017) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 6790380 + ... + 6790440.

It is an arithmetic number, because the mean of its divisors is an integer number (6564870).

Almost surely, 2^414215010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 414215010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630227520).

414215010 is an abundant number, since it is smaller than the sum of its proper divisors (846240030).

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

414215010 is a wasteful number, since it uses less digits than its factorization.

414215010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 414215010 is about 20352.2728460484. The cubic root of 414215010 is about 745.4329930450.

Adding to 414215010 its reverse (10512414), we get a palindrome (424727424).

The spelling of 414215010 in words is "four hundred fourteen million, two hundred fifteen thousand, ten".