27429480 has 96 divisors (see below), whose sum is σ = 96019560. Its totient is φ = 6750720.

The previous prime is 27429473. The next prime is 27429487. The reversal of 27429480 is 8492472.

It is an interprime number because it is at equal distance from previous prime (27429473) and next prime (27429487).

It can be written as a sum of positive squares in 4 ways, for example, as 16499844 + 10929636 = 4062^2 + 3306^2 .

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 (27429487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750 + ... + 7610.

Almost surely, 2^27429480 is an apocalyptic number.

27429480 is a gapful number since it is divisible by the number (20) 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 27429480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48009780).

27429480 is an abundant number, since it is smaller than the sum of its proper divisors (68590080).

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

27429480 is a wasteful number, since it uses less digits than its factorization.

27429480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5891 (or 5884 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 27429480 is about 5237.3161065569. The cubic root of 27429480 is about 301.5823063494.

The spelling of 27429480 in words is "twenty-seven million, four hundred twenty-nine thousand, four hundred eighty".