427364640 has 96 divisors (see below), whose sum is σ = 1495791360. Its totient is φ = 113962752.

The previous prime is 427364629. The next prime is 427364653. The reversal of 427364640 is 46463724.

427364640 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 6 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 427364595 and 427364604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45144 + ... + 53783.

It is an arithmetic number, because the mean of its divisors is an integer number (15581160).

Almost surely, 2^427364640 is an apocalyptic number.

427364640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

427364640 is an abundant number, since it is smaller than the sum of its proper divisors (1068426720).

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

427364640 is a wasteful number, since it uses less digits than its factorization.

427364640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98951 (or 98937 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 427364640 is about 20672.7995201424. The cubic root of 427364640 is about 753.2391107433.

The spelling of 427364640 in words is "four hundred twenty-seven million, three hundred sixty-four thousand, six hundred forty".