54466020 has 144 divisors (see below), whose sum is σ = 195931008. Its totient is φ = 12441600.

The previous prime is 54466019. The next prime is 54466043. The reversal of 54466020 is 2066445.

It is a happy number.

54466020 is a `hidden beast` number, since 54 + 4 + 6 + 602 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33220 + ... + 34820.

It is an arithmetic number, because the mean of its divisors is an integer number (1360632).

Almost surely, 2^54466020 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 54466020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97965504).

54466020 is an abundant number, since it is smaller than the sum of its proper divisors (141464988).

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

54466020 is a wasteful number, since it uses less digits than its factorization.

54466020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1632 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 54466020 is about 7380.1097552814. The cubic root of 54466020 is about 379.0605139112.

It can be divided in two parts, 544 and 66020, that added together give a square (66564 = 258²).

The spelling of 54466020 in words is "fifty-four million, four hundred sixty-six thousand, twenty".