1054744416 has 432 divisors, whose sum is σ = 3659947200. Its totient is φ = 297665280.

The previous prime is 1054744399. The next prime is 1054744417. The reversal of 1054744416 is 6144474501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1054744416² = 2224971566166362112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054744417) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17876995 + ... + 17877053.

It is an arithmetic number, because the mean of its divisors is an integer number (8472100).

Almost surely, 2^1054744416 is an apocalyptic number.

1054744416 is a gapful number since it is divisible by the number (16) 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 1054744416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829973600).

1054744416 is an abundant number, since it is smaller than the sum of its proper divisors (2605202784).

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

1054744416 is a wasteful number, since it uses less digits than its factorization.

1054744416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1054744416 is about 32476.8289092393. The cubic root of 1054744416 is about 1017.9249162692.

The spelling of 1054744416 in words is "one billion, fifty-four million, seven hundred forty-four thousand, four hundred sixteen".