427332672 has 280 divisors, whose sum is σ = 1448309016. Its totient is φ = 123420672.

The previous prime is 427332671. The next prime is 427332673. The reversal of 427332672 is 276233724.

It is an interprime number because it is at equal distance from previous prime (427332671) and next prime (427332673).

It can be written as a sum of positive squares in 4 ways, for example, as 54997056 + 372335616 = 7416^2 + 19296^2 .

It is a super-2 number, since 2×427332672² = 365226425117319168, which contains 22 as substring.

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 (427332671) 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 39 ways as a sum of consecutive naturals, for example, 1145478 + ... + 1145850.

Almost surely, 2^427332672 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 427332672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724154508).

427332672 is an abundant number, since it is smaller than the sum of its proper divisors (1020976344).

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

427332672 is a wasteful number, since it uses less digits than its factorization.

427332672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427 (or 408 counting only the distinct ones).

The product of its digits is 84672, while the sum is 36.

The square root of 427332672 is about 20672.0263157727. The cubic root of 427332672 is about 753.2203288523.

The spelling of 427332672 in words is "four hundred twenty-seven million, three hundred thirty-two thousand, six hundred seventy-two".