427956480 has 576 divisors, whose sum is σ = 1824883200. Its totient is φ = 92897280.

The previous prime is 427956461. The next prime is 427956481. The reversal of 427956480 is 84659724.

It is a happy number.

427956480 is a `hidden beast` number, since 4 + 2 + 7 + 9 + 564 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (427956481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7015650 + ... + 7015710.

It is an arithmetic number, because the mean of its divisors is an integer number (3168200).

Almost surely, 2^427956480 is an apocalyptic number.

427956480 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 427956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912441600).

427956480 is an abundant number, since it is smaller than the sum of its proper divisors (1396926720).

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

427956480 is a wasteful number, since it uses less digits than its factorization.

427956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 427956480 is about 20687.1090295382. The cubic root of 427956480 is about 753.5866604803.

The spelling of 427956480 in words is "four hundred twenty-seven million, nine hundred fifty-six thousand, four hundred eighty".