54955440 has 120 divisors (see below), whose sum is σ = 186321408. Its totient is φ = 14515200.

The previous prime is 54955427. The next prime is 54955463. The reversal of 54955440 is 4455945.

It is a tau number, because it is divible by the number of its divisors (120).

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 junction number, because it is equal to n+sod(n) for n = 54955395 and 54955404.

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, 91140 + ... + 91740.

Almost surely, 2^54955440 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 54955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93160704).

54955440 is an abundant number, since it is smaller than the sum of its proper divisors (131365968).

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

54955440 is a wasteful number, since it uses less digits than its factorization.

54955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 54955440 is about 7413.1936437678. The cubic root of 54955440 is about 380.1925155630.

The spelling of 54955440 in words is "fifty-four million, nine hundred fifty-five thousand, four hundred forty".