421180480 has 84 divisors (see below), whose sum is σ = 1166724108. Its totient is φ = 144399360.

The previous prime is 421180447. The next prime is 421180483. The reversal of 421180480 is 84081124.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 356152384 = 8064^2 + 18872^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (421180483) 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 11 ways as a sum of consecutive naturals, for example, 2250 + ... + 29110.

Almost surely, 2^421180480 is an apocalyptic number.

421180480 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 421180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583362054).

421180480 is an abundant number, since it is smaller than the sum of its proper divisors (745543628).

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

421180480 is a wasteful number, since it uses less digits than its factorization.

421180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26892 (or 26875 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 421180480 is about 20522.6820859263. The cubic root of 421180480 is about 749.5882065355.

It can be divided in two parts, 421 and 180480, that added together give a triangular number (180901 = T₆₀₁).

The spelling of 421180480 in words is "four hundred twenty-one million, one hundred eighty thousand, four hundred eighty".