427509450 has 72 divisors (see below), whose sum is σ = 1151949708. Its totient is φ = 113667840.

The previous prime is 427509449. The next prime is 427509451. The reversal of 427509450 is 54905724.

It is an interprime number because it is at equal distance from previous prime (427509449) and next prime (427509451).

It can be written as a sum of positive squares in 6 ways, for example, as 67914081 + 359595369 = 8241^2 + 18963^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427509451) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 177454 + ... + 179846.

Almost surely, 2^427509450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427509450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575974854).

427509450 is an abundant number, since it is smaller than the sum of its proper divisors (724440258).

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

427509450 is a wasteful number, since it uses less digits than its factorization.

427509450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 427509450 is about 20676.3016518912. The cubic root of 427509450 is about 753.3241780198.

The spelling of 427509450 in words is "four hundred twenty-seven million, five hundred nine thousand, four hundred fifty".