54464436 has 72 divisors (see below), whose sum is σ = 153415080. Its totient is φ = 16176384.

The previous prime is 54464411. The next prime is 54464467. The reversal of 54464436 is 63446445.

54464436 is a `hidden beast` number, since 5 + 4 + 4 + 644 + 3 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8088336 + 46376100 = 2844^2 + 6810^2 .

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 54464436.

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, 11566 + ... + 15578.

It is an arithmetic number, because the mean of its divisors is an integer number (2130765).

Almost surely, 2^54464436 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 54464436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76707540).

54464436 is an abundant number, since it is smaller than the sum of its proper divisors (98950644).

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

54464436 is a wasteful number, since it uses less digits than its factorization.

54464436 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4065 (or 4060 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 54464436 is about 7380.0024390240. The cubic root of 54464436 is about 379.0568392184.

Subtracting from 54464436 its sum of digits (36), we obtain a square (54464400 = 7380²).

Subtracting 54464436 from its reverse (63446445), we obtain a square (8982009 = 2997²).

It can be divided in two parts, 544644 and 36, that multiplied together give a square (19607184 = 4428²).

The spelling of 54464436 in words is "fifty-four million, four hundred sixty-four thousand, four hundred thirty-six".