427290240 has 512 divisors, whose sum is σ = 1665619200. Its totient is φ = 92012544.

The previous prime is 427290239. The next prime is 427290313. The reversal of 427290240 is 42092724.

It is a Cunningham number, because it is equal to 20671²-1.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 427290198 and 427290207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8062054 + ... + 8062106.

Almost surely, 2^427290240 is an apocalyptic number.

427290240 is a gapful number since it is divisible by the number (40) 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 427290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (832809600).

427290240 is an abundant number, since it is smaller than the sum of its proper divisors (1238328960).

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

427290240 is a wasteful number, since it uses less digits than its factorization.

427290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 427290240 is about 20670.9999758115. Note that the first 4 decimals coincide. The cubic root of 427290240 is about 753.1953976882.

The spelling of 427290240 in words is "four hundred twenty-seven million, two hundred ninety thousand, two hundred forty".