54477360 has 200 divisors, whose sum is σ = 216417696. Its totient is φ = 12441600.

The previous prime is 54477349. The next prime is 54477361. The reversal of 54477360 is 6377445.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54477361) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44760 + ... + 45960.

Almost surely, 2^54477360 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 54477360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108208848).

54477360 is an abundant number, since it is smaller than the sum of its proper divisors (161940336).

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

54477360 is a wasteful number, since it uses less digits than its factorization.

54477360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1233 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The square root of 54477360 is about 7380.8779965530. The cubic root of 54477360 is about 379.0868192905.

The spelling of 54477360 in words is "fifty-four million, four hundred seventy-seven thousand, three hundred sixty".