414150464 has 224 divisors, whose sum is σ = 1106058240. Its totient is φ = 149225472.

The previous prime is 414150463. The next prime is 414150493. The reversal of 414150464 is 464051414.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414150463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4653332 + ... + 4653420.

It is an arithmetic number, because the mean of its divisors is an integer number (4937760).

Almost surely, 2^414150464 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 414150464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553029120).

414150464 is an abundant number, since it is smaller than the sum of its proper divisors (691907776).

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

414150464 is a wasteful number, since it uses less digits than its factorization.

414150464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 414150464 is about 20350.6870645686. The cubic root of 414150464 is about 745.3942714340.

The spelling of 414150464 in words is "four hundred fourteen million, one hundred fifty thousand, four hundred sixty-four".