427449600 has 324 divisors, whose sum is σ = 1574151852. Its totient is φ = 110592000.

The previous prime is 427449599. The next prime is 427449619. The reversal of 427449600 is 6944724.

427449600 is a `hidden beast` number, since 4 + 2 + 7 + 4 + 49 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 204604416 + 222845184 = 14304^2 + 14928^2 .

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2361510 + ... + 2361690.

Almost surely, 2^427449600 is an apocalyptic number.

427449600 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 427449600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787075926).

427449600 is an abundant number, since it is smaller than the sum of its proper divisors (1146702252).

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

427449600 is a wasteful number, since it uses less digits than its factorization.

427449600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 427449600 is about 20674.8542921105. The cubic root of 427449600 is about 753.2890220280.

The spelling of 427449600 in words is "four hundred twenty-seven million, four hundred forty-nine thousand, six hundred".