427592704 has 264 divisors, whose sum is σ = 1176124320. Its totient is φ = 151388160.

The previous prime is 427592657. The next prime is 427592707. The reversal of 427592704 is 407295724.

It is not an unprimeable number, because it can be changed into a prime (427592707) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14744562 + ... + 14744590.

Almost surely, 2^427592704 is an apocalyptic number.

427592704 is a gapful number since it is divisible by the number (44) 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 427592704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588062160).

427592704 is an abundant number, since it is smaller than the sum of its proper divisors (748531616).

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

427592704 is a wasteful number, since it uses less digits than its factorization.

427592704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The square root of 427592704 is about 20678.3148249561. The cubic root of 427592704 is about 753.3730761048.

The spelling of 427592704 in words is "four hundred twenty-seven million, five hundred ninety-two thousand, seven hundred four".