54419040 has 480 divisors, whose sum is σ = 230519520. Its totient is φ = 11943936.

The previous prime is 54419039. The next prime is 54419069. The reversal of 54419040 is 4091445.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×54419040² = 5922863829043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a junction number, because it is equal to n+sod(n) for n = 54418995 and 54419013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2864151 + ... + 2864169.

It is an arithmetic number, because the mean of its divisors is an integer number (480249).

Almost surely, 2^54419040 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 54419040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115259760).

54419040 is an abundant number, since it is smaller than the sum of its proper divisors (176100480).

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

54419040 is a wasteful number, since it uses less digits than its factorization.

54419040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 54419040 is about 7376.9261891387. The cubic root of 54419040 is about 378.9514955691.

The spelling of 54419040 in words is "fifty-four million, four hundred nineteen thousand, forty".