424092672 has 110 divisors (see below), whose sum is σ = 1266671318. Its totient is φ = 141336576.

The previous prime is 424092667. The next prime is 424092677. The reversal of 424092672 is 276290424.

It is an interprime number because it is at equal distance from previous prime (424092667) and next prime (424092677).

It can be written as a sum of positive squares in only one way, i.e., 232989696 + 191102976 = 15264^2 + 13824^2 .

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 (424092677) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 80388 + ... + 85500.

Almost surely, 2^424092672 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 424092672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633335659).

424092672 is an abundant number, since it is smaller than the sum of its proper divisors (842578646).

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

424092672 is an equidigital number, since it uses as much as digits as its factorization.

424092672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5118 counting only the distinct ones).

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

The square root of 424092672 is about 20593.5104341149. The cubic root of 424092672 is about 751.3118799567.

The spelling of 424092672 in words is "four hundred twenty-four million, ninety-two thousand, six hundred seventy-two".