427481600 has 240 divisors, whose sum is σ = 1307083008. Its totient is φ = 134922240.

The previous prime is 427481597. The next prime is 427481603. The reversal of 427481600 is 6184724.

It is an interprime number because it is at equal distance from previous prime (427481597) and next prime (427481603).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427481603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1164617 + ... + 1164983.

Almost surely, 2^427481600 is an apocalyptic number.

427481600 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 427481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653541504).

427481600 is an abundant number, since it is smaller than the sum of its proper divisors (879601408).

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

427481600 is a wasteful number, since it uses less digits than its factorization.

427481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 427481600 is about 20675.6281645806. The cubic root of 427481600 is about 753.3078192906.

The spelling of 427481600 in words is "four hundred twenty-seven million, four hundred eighty-one thousand, six hundred".