54409536 has 168 divisors, whose sum is σ = 171541440. Its totient is φ = 16879104.

The previous prime is 54409507. The next prime is 54409541. The reversal of 54409536 is 63590445.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54409536.

It is a congruent number.

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, 1470510 + ... + 1470546.

It is an arithmetic number, because the mean of its divisors is an integer number (1021080).

Almost surely, 2^54409536 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 54409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85770720).

54409536 is an abundant number, since it is smaller than the sum of its proper divisors (117131904).

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

54409536 is a wasteful number, since it uses less digits than its factorization.

54409536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 54409536 is about 7376.2819902713. The cubic root of 54409536 is about 378.9294336541.

It can be divided in two parts, 54409 and 536, that added together give a palindrome (54945).

The spelling of 54409536 in words is "fifty-four million, four hundred nine thousand, five hundred thirty-six".