54302976 has 324 divisors, whose sum is σ = 201442332. Its totient is φ = 13934592.

The previous prime is 54302971. The next prime is 54303043. The reversal of 54302976 is 67920345.

It can be written as a sum of positive squares in 2 ways, for example, as 28901376 + 25401600 = 5376^2 + 5040^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 54302976.

It is not an unprimeable number, because it can be changed into a prime (54302971) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1467630 + ... + 1467666.

Almost surely, 2^54302976 is an apocalyptic number.

54302976 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 54302976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100721166).

54302976 is an abundant number, since it is smaller than the sum of its proper divisors (147139356).

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

54302976 is a wasteful number, since it uses less digits than its factorization.

54302976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 54302976 is about 7369.0552990190. The cubic root of 54302976 is about 378.6818967182.

It can be divided in two parts, 54302 and 976, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 54302976 in words is "fifty-four million, three hundred two thousand, nine hundred seventy-six".