427315200 has 312 divisors, whose sum is σ = 1535714208. Its totient is φ = 104202240.

The previous prime is 427315181. The next prime is 427315223. The reversal of 427315200 is 2513724.

It is a tau number, because it is divible by the number of its divisors (312).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3993547 + ... + 3993653.

Almost surely, 2^427315200 is an apocalyptic number.

427315200 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 427315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767857104).

427315200 is an abundant number, since it is smaller than the sum of its proper divisors (1108399008).

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

427315200 is a wasteful number, since it uses less digits than its factorization.

427315200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 427315200 is about 20671.6037113718. The cubic root of 427315200 is about 753.2100632787.

Adding to 427315200 its reverse (2513724), we get a palindrome (429828924).

The spelling of 427315200 in words is "four hundred twenty-seven million, three hundred fifteen thousand, two hundred".