54719280 has 480 divisors, whose sum is σ = 244270080. Its totient is φ = 11128320.

The previous prime is 54719279. The next prime is 54719293. The reversal of 54719280 is 8291745.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1164217 + ... + 1164263.

It is an arithmetic number, because the mean of its divisors is an integer number (508896).

Almost surely, 2^54719280 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 54719280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122135040).

54719280 is an abundant number, since it is smaller than the sum of its proper divisors (189550800).

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

54719280 is a wasteful number, since it uses less digits than its factorization.

54719280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 54719280 is about 7397.2481369763. The cubic root of 54719280 is about 379.6471331876.

The spelling of 54719280 in words is "fifty-four million, seven hundred nineteen thousand, two hundred eighty".