54538380 has 192 divisors, whose sum is σ = 193898880. Its totient is φ = 12607488.

The previous prime is 54538369. The next prime is 54538381. The reversal of 54538380 is 8383545.

54538380 is a `hidden beast` number, since 545 + 38 + 3 + 80 = 666.

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 (54538381) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119112 + ... + 119568.

It is an arithmetic number, because the mean of its divisors is an integer number (1009890).

Almost surely, 2^54538380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54538380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96949440).

54538380 is an abundant number, since it is smaller than the sum of its proper divisors (139360500).

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

54538380 is a wasteful number, since it uses less digits than its factorization.

54538380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 54538380 is about 7385.0104942376. The cubic root of 54538380 is about 379.2283046489.

The spelling of 54538380 in words is "fifty-four million, five hundred thirty-eight thousand, three hundred eighty".