54005952 has 224 divisors, whose sum is σ = 192536064. Its totient is φ = 12902400.

The previous prime is 54005951. The next prime is 54005969. The reversal of 54005952 is 25950045.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is not an unprimeable number, because it can be changed into a prime (54005951) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 192052 + ... + 192332.

It is an arithmetic number, because the mean of its divisors is an integer number (859536).

Almost surely, 2^54005952 is an apocalyptic number.

54005952 is a gapful number since it is divisible by the number (52) 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 54005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96268032).

54005952 is an abundant number, since it is smaller than the sum of its proper divisors (138530112).

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

54005952 is a wasteful number, since it uses less digits than its factorization.

54005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 54005952 is about 7348.8741994948. The cubic root of 54005952 is about 377.9902015881.

Adding to 54005952 its reverse (25950045), we get a palindrome (79955997).

The spelling of 54005952 in words is "fifty-four million, five thousand, nine hundred fifty-two".