427939200 has 480 divisors, whose sum is σ = 1714056960. Its totient is φ = 104509440.

The previous prime is 427939199. The next prime is 427939207. The reversal of 427939200 is 2939724.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427939207) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 3369537 + ... + 3369663.

It is an arithmetic number, because the mean of its divisors is an integer number (3570952).

Almost surely, 2^427939200 is an apocalyptic number.

427939200 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 427939200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857028480).

427939200 is an abundant number, since it is smaller than the sum of its proper divisors (1286117760).

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

427939200 is a wasteful number, since it uses less digits than its factorization.

427939200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 427939200 is about 20686.6913739244. The cubic root of 427939200 is about 753.5765175855.

The spelling of 427939200 in words is "four hundred twenty-seven million, nine hundred thirty-nine thousand, two hundred".