427021504 has 224 divisors, whose sum is σ = 1167505920. Its totient is φ = 149962752.

The previous prime is 427021501. The next prime is 427021513. The reversal of 427021504 is 405120724.

427021504 = 1835² + 1836² + ... + 1953².

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (427021501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1881039 + ... + 1881265.

It is an arithmetic number, because the mean of its divisors is an integer number (5212080).

Almost surely, 2^427021504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427021504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583752960).

427021504 is an abundant number, since it is smaller than the sum of its proper divisors (740484416).

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

427021504 is a wasteful number, since it uses less digits than its factorization.

427021504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 427021504 is about 20664.4986389702. The cubic root of 427021504 is about 753.0374619742.

The spelling of 427021504 in words is "four hundred twenty-seven million, twenty-one thousand, five hundred four".