427305690 has 192 divisors, whose sum is σ = 1324657152. Its totient is φ = 93542400.

The previous prime is 427305679. The next prime is 427305709. The reversal of 427305690 is 96503724.

It is a super-2 number, since 2×427305690² = 365180305412752200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1833814 + ... + 1834046.

It is an arithmetic number, because the mean of its divisors is an integer number (6899256).

Almost surely, 2^427305690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427305690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662328576).

427305690 is an abundant number, since it is smaller than the sum of its proper divisors (897351462).

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

427305690 is a wasteful number, since it uses less digits than its factorization.

427305690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 427305690 is about 20671.3736843975. The cubic root of 427305690 is about 753.2044756150.

The spelling of 427305690 in words is "four hundred twenty-seven million, three hundred five thousand, six hundred ninety".