18429264 has 120 divisors (see below), whose sum is σ = 60353280. Its totient is φ = 5140224.

The previous prime is 18429263. The next prime is 18429277. The reversal of 18429264 is 46292481.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18429263) 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, 47182 + ... + 47570.

It is an arithmetic number, because the mean of its divisors is an integer number (502944).

Almost surely, 2^18429264 is an apocalyptic number.

18429264 is a gapful number since it is divisible by the number (14) 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 18429264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30176640).

18429264 is an abundant number, since it is smaller than the sum of its proper divisors (41924016).

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

18429264 is a wasteful number, since it uses less digits than its factorization.

18429264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 448 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 18429264 is about 4292.9318652874. The cubic root of 18429264 is about 264.1411091361.

The spelling of 18429264 in words is "eighteen million, four hundred twenty-nine thousand, two hundred sixty-four".