427236480 has 288 divisors, whose sum is σ = 1624257180. Its totient is φ = 103403520.

The previous prime is 427236479. The next prime is 427236487. The reversal of 427236480 is 84632724.

427236480 is a `hidden beast` number, since 4 + 2 + 7 + 2 + 3 + 648 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 351337536 + 75898944 = 18744^2 + 8712^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (427236487) 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 35 ways as a sum of consecutive naturals, for example, 696654 + ... + 697266.

Almost surely, 2^427236480 is an apocalyptic number.

427236480 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 427236480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812128590).

427236480 is an abundant number, since it is smaller than the sum of its proper divisors (1197020700).

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

427236480 is a wasteful number, since it uses less digits than its factorization.

427236480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 427236480 is about 20669.6995624029. The cubic root of 427236480 is about 753.1638083225.

It can be divided in two parts, 427236 and 480, that added together give a square (427716 = 654²).

The spelling of 427236480 in words is "four hundred twenty-seven million, two hundred thirty-six thousand, four hundred eighty".