427744800 has 720 divisors, whose sum is σ = 1905628032. Its totient is φ = 91238400.

The previous prime is 427744787. The next prime is 427744813. The reversal of 427744800 is 8447724.

It is an interprime number because it is at equal distance from previous prime (427744787) and next prime (427744813).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×427744800² = 365931227854080000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10432780 + ... + 10432820.

Almost surely, 2^427744800 is an apocalyptic number.

427744800 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 427744800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952814016).

427744800 is an abundant number, since it is smaller than the sum of its proper divisors (1477883232).

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

427744800 is a wasteful number, since it uses less digits than its factorization.

427744800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 427744800 is about 20681.9921671003. The cubic root of 427744800 is about 753.4623911991.

It can be divided in two parts, 42774 and 4800, that added together give a palindrome (47574).

The spelling of 427744800 in words is "four hundred twenty-seven million, seven hundred forty-four thousand, eight hundred".