54965952 has 140 divisors (see below), whose sum is σ = 170389296. Its totient is φ = 17487360.

The previous prime is 54965927. The next prime is 54965987. The reversal of 54965952 is 25956945.

It is a happy number.

54965952 is a `hidden beast` number, since 54 + 9 + 6 + 595 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 54965898 and 54965907.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 119002 + ... + 119462.

Almost surely, 2^54965952 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 54965952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85194648).

54965952 is an abundant number, since it is smaller than the sum of its proper divisors (115423344).

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

54965952 is a wasteful number, since it uses less digits than its factorization.

54965952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 489 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 54965952 is about 7413.9026160316. The cubic root of 54965952 is about 380.2167553770.

The spelling of 54965952 in words is "fifty-four million, nine hundred sixty-five thousand, nine hundred fifty-two".