427485672 has 96 divisors (see below), whose sum is σ = 1230914880. Its totient is φ = 133562880.

The previous prime is 427485671. The next prime is 427485673. The reversal of 427485672 is 276584724.

It is a happy number.

427485672 is a `hidden beast` number, since 42 + 7 + 48 + 567 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (427485671) and next prime (427485673).

It is not an unprimeable number, because it can be changed into a prime (427485671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 380103 + ... + 381225.

It is an arithmetic number, because the mean of its divisors is an integer number (12822030).

Almost surely, 2^427485672 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 427485672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (615457440).

427485672 is an abundant number, since it is smaller than the sum of its proper divisors (803429208).

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

427485672 is a wasteful number, since it uses less digits than its factorization.

427485672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463 (or 1456 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 427485672 is about 20675.7266377750. The cubic root of 427485672 is about 753.3102111750.

The spelling of 427485672 in words is "four hundred twenty-seven million, four hundred eighty-five thousand, six hundred seventy-two".