427765492 has 108 divisors (see below), whose sum is σ = 1014428772. Its totient is φ = 156710400.

The previous prime is 427765469. The next prime is 427765493. The reversal of 427765492 is 294567724.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 308213136 + 119552356 = 17556^2 + 10934^2 .

It is a super-2 number, since 2×427765492² = 365966632292004128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427765493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 402642 + ... + 403702.

It is an arithmetic number, because the mean of its divisors is an integer number (9392859).

Almost surely, 2^427765492 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 427765492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507214386).

427765492 is an abundant number, since it is smaller than the sum of its proper divisors (586663280).

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

427765492 is a wasteful number, since it uses less digits than its factorization.

427765492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1118 (or 1098 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The square root of 427765492 is about 20682.4924029963. The cubic root of 427765492 is about 753.4745404934.

The spelling of 427765492 in words is "four hundred twenty-seven million, seven hundred sixty-five thousand, four hundred ninety-two".