427743040 has 56 divisors (see below), whose sum is σ = 1053708840. Its totient is φ = 165193728.

The previous prime is 427743023. The next prime is 427743077. The reversal of 427743040 is 40347724.

It can be written as a sum of positive squares in 4 ways, for example, as 44836416 + 382906624 = 6696^2 + 19568^2 .

It is a junction number, because it is equal to n+sod(n) for n = 427742993 and 427743011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13767 + ... + 32326.

Almost surely, 2^427743040 is an apocalyptic number.

427743040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427743040 is an abundant number, since it is smaller than the sum of its proper divisors (625965800).

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

427743040 is a wasteful number, since it uses less digits than its factorization.

427743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46139 (or 46129 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 31.

The square root of 427743040 is about 20681.9496179640. The cubic root of 427743040 is about 753.4613577982.

The spelling of 427743040 in words is "four hundred twenty-seven million, seven hundred forty-three thousand, forty".