1054732224 has 448 divisors, whose sum is σ = 3760598016. Its totient is φ = 253034496.

The previous prime is 1054732213. The next prime is 1054732247. The reversal of 1054732224 is 4222374501.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×1054732224³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1054732191 and 1054732200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15742239 + ... + 15742305.

It is an arithmetic number, because the mean of its divisors is an integer number (8394192).

Almost surely, 2^1054732224 is an apocalyptic number.

1054732224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1054732224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1880299008).

1054732224 is an abundant number, since it is smaller than the sum of its proper divisors (2705865792).

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

1054732224 is a wasteful number, since it uses less digits than its factorization.

1054732224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 1054732224 is about 32476.6412056419. The cubic root of 1054732224 is about 1017.9209941221.

The spelling of 1054732224 in words is "one billion, fifty-four million, seven hundred thirty-two thousand, two hundred twenty-four".