20180438460 has 576 divisors, whose sum is σ = 80681502720. Its totient is φ = 3963893760.

The previous prime is 20180438437. The next prime is 20180438471. The reversal of 20180438460 is 6483408102.

20180438460 is a `hidden beast` number, since 2 + 0 + 180 + 438 + 46 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18983889 + ... + 18984951.

Almost surely, 2^20180438460 is an apocalyptic number.

20180438460 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 20180438460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40340751360).

20180438460 is an abundant number, since it is smaller than the sum of its proper divisors (60501064260).

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

20180438460 is a wasteful number, since it uses less digits than its factorization.

20180438460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1178 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20180438460 in words is "twenty billion, one hundred eighty million, four hundred thirty-eight thousand, four hundred sixty".