427649040 has 480 divisors, whose sum is σ = 1813383936. Its totient is φ = 87920640.

The previous prime is 427649023. The next prime is 427649069. The reversal of 427649040 is 40946724.

427649040 is a `hidden beast` number, since 4 + 2 + 7 + 649 + 0 + 4 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 427648986 and 427649004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3996667 + ... + 3996773.

Almost surely, 2^427649040 is an apocalyptic number.

427649040 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 427649040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (906691968).

427649040 is an abundant number, since it is smaller than the sum of its proper divisors (1385734896).

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

427649040 is a wasteful number, since it uses less digits than its factorization.

427649040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427649040 is about 20679.6769800691. The cubic root of 427649040 is about 753.4061606745.

The spelling of 427649040 in words is "four hundred twenty-seven million, six hundred forty-nine thousand, forty".