427421610 has 360 divisors, whose sum is σ = 1486027620. Its totient is φ = 87816960.

The previous prime is 427421593. The next prime is 427421611. The reversal of 427421610 is 16124724.

427421610 is a `hidden beast` number, since 4 + 2 + 7 + 42 + 1 + 610 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 403889409 + 23532201 = 20097^2 + 4851^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427421611) 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 179 ways as a sum of consecutive naturals, for example, 4802446 + ... + 4802534.

Almost surely, 2^427421610 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427421610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743013810).

427421610 is an abundant number, since it is smaller than the sum of its proper divisors (1058606010).

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

427421610 is a wasteful number, since it uses less digits than its factorization.

427421610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 427421610 is about 20674.1773717843. The cubic root of 427421610 is about 753.2725795281.

The spelling of 427421610 in words is "four hundred twenty-seven million, four hundred twenty-one thousand, six hundred ten".