54479040 has 336 divisors, whose sum is σ = 220528896. Its totient is φ = 11151360.

The previous prime is 54479021. The next prime is 54479041. The reversal of 54479040 is 4097445.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 54478992 and 54479010.

It is not an unprimeable number, because it can be changed into a prime (54479041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813087 + ... + 813153.

It is an arithmetic number, because the mean of its divisors is an integer number (656336).

Almost surely, 2^54479040 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 54479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110264448).

54479040 is an abundant number, since it is smaller than the sum of its proper divisors (166049856).

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

54479040 is a wasteful number, since it uses less digits than its factorization.

54479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 54479040 is about 7380.9918032741. The cubic root of 54479040 is about 379.0907160732.

The spelling of 54479040 in words is "fifty-four million, four hundred seventy-nine thousand, forty".