427734400 has 96 divisors (see below), whose sum is σ = 1062432000. Its totient is φ = 170158080.

The previous prime is 427734343. The next prime is 427734431. The reversal of 427734400 is 4437724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116609 + ... + 1116991.

It is an arithmetic number, because the mean of its divisors is an integer number (11067000).

Almost surely, 2^427734400 is an apocalyptic number.

427734400 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 427734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531216000).

427734400 is an abundant number, since it is smaller than the sum of its proper divisors (634697600).

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

427734400 is a wasteful number, since it uses less digits than its factorization.

427734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 31.

The square root of 427734400 is about 20681.7407391157. The cubic root of 427734400 is about 753.4562846979.

The spelling of 427734400 in words is "four hundred twenty-seven million, seven hundred thirty-four thousand, four hundred".