54742401 has 72 divisors (see below), whose sum is σ = 99852480. Its totient is φ = 28268352.

The previous prime is 54742399. The next prime is 54742403. The reversal of 54742401 is 10424745.

It is an interprime number because it is at equal distance from previous prime (54742399) and next prime (54742403).

It is not a de Polignac number, because 54742401 - 2¹ = 54742399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54742403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 659506 + ... + 659588.

It is an arithmetic number, because the mean of its divisors is an integer number (1386840).

Almost surely, 2^54742401 is an apocalyptic number.

It is an amenable number.

54742401 is a deficient number, since it is larger than the sum of its proper divisors (45110079).

54742401 is a wasteful number, since it uses less digits than its factorization.

54742401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 54742401 is about 7398.8107828218. The cubic root of 54742401 is about 379.7005974957.

It can be divided in two parts, 5474 and 2401, that added together give a triangular number (7875 = T₁₂₅).

The spelling of 54742401 in words is "fifty-four million, seven hundred forty-two thousand, four hundred one".