54463968 has 144 divisors (see below), whose sum is σ = 172473840. Its totient is φ = 16713216.

The previous prime is 54463951. The next prime is 54463987. The reversal of 54463968 is 86936445.

54463968 is a `hidden beast` number, since 5 + 4 + 4 + 639 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145830 + ... + 146202.

It is an arithmetic number, because the mean of its divisors is an integer number (1197735).

Almost surely, 2^54463968 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 54463968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86236920).

54463968 is an abundant number, since it is smaller than the sum of its proper divisors (118009872).

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

54463968 is a wasteful number, since it uses less digits than its factorization.

54463968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 391 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 54463968 is about 7379.9707316493. The cubic root of 54463968 is about 379.0557535001.

The spelling of 54463968 in words is "fifty-four million, four hundred sixty-three thousand, nine hundred sixty-eight".