54400032 has 96 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 17881344.

The previous prime is 54399997. The next prime is 54400039. The reversal of 54400032 is 23000445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 54399978 and 54400014.

It is not an unprimeable number, because it can be changed into a prime (54400039) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67858 + ... + 68654.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 2^54400032 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 54400032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

54400032 is an abundant number, since it is smaller than the sum of its proper divisors (106476768).

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

54400032 is a wasteful number, since it uses less digits than its factorization.

54400032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 895 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 54400032 is about 7375.6377351386. The cubic root of 54400032 is about 378.9073691699.

Adding to 54400032 its reverse (23000445), we get a palindrome (77400477).

The spelling of 54400032 in words is "fifty-four million, four hundred thousand, thirty-two".