54790464 has 56 divisors (see below), whose sum is σ = 146080480. Its totient is φ = 18123264.

The previous prime is 54790459. The next prime is 54790469. The reversal of 54790464 is 46409745.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (54790459) and next prime (54790469).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54790469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25662 + ... + 27714.

It is an arithmetic number, because the mean of its divisors is an integer number (2608580).

Almost surely, 2^54790464 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 54790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73040240).

54790464 is an abundant number, since it is smaller than the sum of its proper divisors (91290016).

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

54790464 is a wasteful number, since it uses less digits than its factorization.

54790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2197 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 54790464 is about 7402.0580921795. The cubic root of 54790464 is about 379.8116887835.

The spelling of 54790464 in words is "fifty-four million, seven hundred ninety thousand, four hundred sixty-four".