427378905 has 24 divisors (see below), whose sum is σ = 742252680. Its totient is φ = 227485440.

The previous prime is 427378901. The next prime is 427378907. The reversal of 427378905 is 509873724.

It can be written as a sum of positive squares in 4 ways, for example, as 132089049 + 295289856 = 11493^2 + 17184^2 .

It is not a de Polignac number, because 427378905 - 2² = 427378901 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (427378901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14331 + ... + 32559.

It is an arithmetic number, because the mean of its divisors is an integer number (30927195).

Almost surely, 2^427378905 is an apocalyptic number.

427378905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

427378905 is a deficient number, since it is larger than the sum of its proper divisors (314873775).

427378905 is a wasteful number, since it uses less digits than its factorization.

427378905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18761 (or 18758 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 427378905 is about 20673.1445358465. The cubic root of 427378905 is about 753.2474914370.

The spelling of 427378905 in words is "four hundred twenty-seven million, three hundred seventy-eight thousand, nine hundred five".