54167456 has 48 divisors (see below), whose sum is σ = 123459840. Its totient is φ = 22913280.

The previous prime is 54167429. The next prime is 54167459. The reversal of 54167456 is 65476145.

It is a super-2 number, since 2×54167456² = 5868226579023872, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (54167459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16166 + ... + 19226.

It is an arithmetic number, because the mean of its divisors is an integer number (2572080).

Almost surely, 2^54167456 is an apocalyptic number.

54167456 is a gapful number since it is divisible by the number (56) 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 54167456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61729920).

54167456 is an abundant number, since it is smaller than the sum of its proper divisors (69292384).

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

54167456 is a wasteful number, since it uses less digits than its factorization.

54167456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3149 counting only the distinct ones).

The product of its digits is 100800, while the sum is 38.

The square root of 54167456 is about 7359.8543463849. The cubic root of 54167456 is about 378.3666179820.

The spelling of 54167456 in words is "fifty-four million, one hundred sixty-seven thousand, four hundred fifty-six".