427035672 has 128 divisors (see below), whose sum is σ = 1402560000. Its totient is φ = 117790848.

The previous prime is 427035671. The next prime is 427035683. The reversal of 427035672 is 276530724.

It is a happy number.

It is a super-3 number, since 3×427035672³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427035671) 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 31 ways as a sum of consecutive naturals, for example, 38979 + ... + 48717.

It is an arithmetic number, because the mean of its divisors is an integer number (10957500).

Almost surely, 2^427035672 is an apocalyptic number.

427035672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427035672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701280000).

427035672 is an abundant number, since it is smaller than the sum of its proper divisors (975524328).

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

427035672 is a wasteful number, since it uses less digits than its factorization.

427035672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9790 (or 9780 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 427035672 is about 20664.8414462826. The cubic root of 427035672 is about 753.0457901394.

The spelling of 427035672 in words is "four hundred twenty-seven million, thirty-five thousand, six hundred seventy-two".