1354476816 has 400 divisors, whose sum is σ = 5005334400. Its totient is φ = 350542080.

The previous prime is 1354476811. The next prime is 1354476817. The reversal of 1354476816 is 6186744531.

1354476816 is a `hidden beast` number, since 135 + 447 + 68 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (1354476811) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4889670 + ... + 4889946.

It is an arithmetic number, because the mean of its divisors is an integer number (12513336).

Almost surely, 2^1354476816 is an apocalyptic number.

1354476816 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 1354476816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502667200).

1354476816 is an abundant number, since it is smaller than the sum of its proper divisors (3650857584).

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

1354476816 is a wasteful number, since it uses less digits than its factorization.

1354476816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 300 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1354476816 is about 36803.2174680421. The cubic root of 1354476816 is about 1106.4297854310.

The spelling of 1354476816 in words is "one billion, three hundred fifty-four million, four hundred seventy-six thousand, eight hundred sixteen".