427035840 has 448 divisors, whose sum is σ = 1738091520. Its totient is φ = 86261760.

The previous prime is 427035839. The next prime is 427035899. The reversal of 427035840 is 48530724.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 63 ways as a sum of consecutive naturals, for example, 3917706 + ... + 3917814.

Almost surely, 2^427035840 is an apocalyptic number.

427035840 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 427035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (869045760).

427035840 is an abundant number, since it is smaller than the sum of its proper divisors (1311055680).

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

427035840 is a wasteful number, since it uses less digits than its factorization.

427035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 427035840 is about 20664.8455111573. The cubic root of 427035840 is about 753.0458888912.

The spelling of 427035840 in words is "four hundred twenty-seven million, thirty-five thousand, eight hundred forty".