54821460 has 72 divisors (see below), whose sum is σ = 162068256. Its totient is φ = 13844160.

The previous prime is 54821453. The next prime is 54821483. The reversal of 54821460 is 6412845.

54821460 = T₃₆₂ + T₃₆₃ + ... + T₇₂₁.

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

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, 20395 + ... + 22925.

It is an arithmetic number, because the mean of its divisors is an integer number (2250948).

Almost surely, 2^54821460 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 54821460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81034128).

54821460 is an abundant number, since it is smaller than the sum of its proper divisors (107246796).

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

54821460 is a wasteful number, since it uses less digits than its factorization.

54821460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2581 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 54821460 is about 7404.1515381575. The cubic root of 54821460 is about 379.8832974963.

The spelling of 54821460 in words is "fifty-four million, eight hundred twenty-one thousand, four hundred sixty".