414374472 has 36 divisors (see below), whose sum is σ = 1122732195. Its totient is φ = 138067248.

The previous prime is 414374461. The next prime is 414374479. The reversal of 414374472 is 274473414.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 207187236 + 207187236 = 14394^2 + 14394^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=14394.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (414374479) 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 8 ways as a sum of consecutive naturals, for example, 171529 + ... + 173927.

Almost surely, 2^414374472 is an apocalyptic number.

It is an amenable number.

414374472 is an abundant number, since it is smaller than the sum of its proper divisors (708357723).

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

414374472 is an equidigital number, since it uses as much as digits as its factorization.

414374472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 2404 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 414374472 is about 20356.1900167983. The cubic root of 414374472 is about 745.5286382072.

The spelling of 414374472 in words is "four hundred fourteen million, three hundred seventy-four thousand, four hundred seventy-two".