427146720 has 576 divisors, whose sum is σ = 1853300736. Its totient is φ = 81285120.

The previous prime is 427146697. The next prime is 427146739. The reversal of 427146720 is 27641724.

It is a hoax number, since the sum of its digits (33) 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 (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3363297 + ... + 3363423.

It is an arithmetic number, because the mean of its divisors is an integer number (3217536).

Almost surely, 2^427146720 is an apocalyptic number.

427146720 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 427146720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926650368).

427146720 is an abundant number, since it is smaller than the sum of its proper divisors (1426154016).

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

427146720 is a wasteful number, since it uses less digits than its factorization.

427146720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 427146720 is about 20667.5281540875. The cubic root of 427146720 is about 753.1110594574. Note that the first 3 decimals are identical.

The spelling of 427146720 in words is "four hundred twenty-seven million, one hundred forty-six thousand, seven hundred twenty".