427456040 has 32 divisors (see below), whose sum is σ = 1049211360. Its totient is φ = 155438400.

The previous prime is 427456031. The next prime is 427456049. The reversal of 427456040 is 40654724.

It is an interprime number because it is at equal distance from previous prime (427456031) and next prime (427456049).

It is a super-4 number, since 4×427456040⁴ (a number of 36 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 427455988 and 427456006.

It is not an unprimeable number, because it can be changed into a prime (427456049) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485306 + ... + 486185.

It is an arithmetic number, because the mean of its divisors is an integer number (32787855).

Almost surely, 2^427456040 is an apocalyptic number.

427456040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427456040 is an abundant number, since it is smaller than the sum of its proper divisors (621755320).

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

427456040 is a wasteful number, since it uses less digits than its factorization.

427456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971513 (or 971509 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 32.

The square root of 427456040 is about 20675.0100362733. The cubic root of 427456040 is about 753.2928050525.

The spelling of 427456040 in words is "four hundred twenty-seven million, four hundred fifty-six thousand, forty".