54416460 has 144 divisors (see below), whose sum is σ = 180182016. Its totient is φ = 12233088.

The previous prime is 54416443. The next prime is 54416489. The reversal of 54416460 is 6461445.

54416460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×54416460² = 5922302237863200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 243909 + ... + 244131.

It is an arithmetic number, because the mean of its divisors is an integer number (1251264).

Almost surely, 2^54416460 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 54416460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90091008).

54416460 is an abundant number, since it is smaller than the sum of its proper divisors (125765556).

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

54416460 is a wasteful number, since it uses less digits than its factorization.

54416460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 54416460 is about 7376.7513174839. The cubic root of 54416460 is about 378.9455067932.

The spelling of 54416460 in words is "fifty-four million, four hundred sixteen thousand, four hundred sixty".