427074816 has 144 divisors (see below), whose sum is σ = 1375726464. Its totient is φ = 114819072.

The previous prime is 427074797. The next prime is 427074827. The reversal of 427074816 is 618470724.

It is a super-2 number, since 2×427074816² = 364785796922867712, which contains 22 as substring.

It is a congruent number.

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, 89056 + ... + 93728.

It is an arithmetic number, because the mean of its divisors is an integer number (9553656).

Almost surely, 2^427074816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427074816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687863232).

427074816 is an abundant number, since it is smaller than the sum of its proper divisors (948651648).

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

427074816 is a wasteful number, since it uses less digits than its factorization.

427074816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4716 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 427074816 is about 20665.7885404840. The cubic root of 427074816 is about 753.0687986183.

The spelling of 427074816 in words is "four hundred twenty-seven million, seventy-four thousand, eight hundred sixteen".