1054407816 has 192 divisors, whose sum is σ = 3643960320. Its totient is φ = 267442560.

The previous prime is 1054407787. The next prime is 1054407817. The reversal of 1054407816 is 6187044501.

It is a happy number.

It is a super-2 number, since 2×1054407816² = 2223551684883779712, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1054407817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236181 + ... + 240603.

It is an arithmetic number, because the mean of its divisors is an integer number (18978960).

Almost surely, 2^1054407816 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 1054407816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1821980160).

1054407816 is an abundant number, since it is smaller than the sum of its proper divisors (2589552504).

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

1054407816 is a wasteful number, since it uses less digits than its factorization.

1054407816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4496 (or 4489 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1054407816 is about 32471.6463395375. The cubic root of 1054407816 is about 1017.8166214772.

The spelling of 1054407816 in words is "one billion, fifty-four million, four hundred seven thousand, eight hundred sixteen".