54419904 has 224 divisors, whose sum is σ = 199948800. Its totient is φ = 14100480.

The previous prime is 54419903. The next prime is 54419929. The reversal of 54419904 is 40991445.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54419903) 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, 132852 + ... + 133260.

Almost surely, 2^54419904 is an apocalyptic number.

54419904 is a gapful number since it is divisible by the number (54) 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 54419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99974400).

54419904 is an abundant number, since it is smaller than the sum of its proper divisors (145528896).

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

54419904 is a wasteful number, since it uses less digits than its factorization.

54419904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 54419904 is about 7376.9847498826. The cubic root of 54419904 is about 378.9535010703.

The spelling of 54419904 in words is "fifty-four million, four hundred nineteen thousand, nine hundred four".