414268032 has 64 divisors (see below), whose sum is σ = 1103925600. Its totient is φ = 137647104.

The previous prime is 414268009. The next prime is 414268037. The reversal of 414268032 is 230862414.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (414268037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 131694 + ... + 134802.

Almost surely, 2^414268032 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 414268032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551962800).

414268032 is an abundant number, since it is smaller than the sum of its proper divisors (689657568).

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

414268032 is a wasteful number, since it uses less digits than its factorization.

414268032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3473 (or 3461 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 414268032 is about 20353.5754107233. The cubic root of 414268032 is about 745.4647983159.

The spelling of 414268032 in words is "four hundred fourteen million, two hundred sixty-eight thousand, thirty-two".