1053366408 has 96 divisors (see below), whose sum is σ = 2917200000. Its totient is φ = 343294848.

The previous prime is 1053366407. The next prime is 1053366409. The reversal of 1053366408 is 8046633501.

1053366408 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 6 + 640 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (1053366407) and next prime (1053366409).

It is a super-2 number, since 2×1053366408² = 2219161579005644928, 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 (1053366407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 619143 + ... + 620841.

It is an arithmetic number, because the mean of its divisors is an integer number (30387500).

Almost surely, 2^1053366408 is an apocalyptic number.

1053366408 is a gapful number since it is divisible by the number (18) 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 1053366408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458600000).

1053366408 is an abundant number, since it is smaller than the sum of its proper divisors (1863833592).

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

1053366408 is a wasteful number, since it uses less digits than its factorization.

1053366408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 1053366408 is about 32455.6067267275. The cubic root of 1053366408 is about 1017.4814217843.

Adding to 1053366408 its reverse (8046633501), we get a palindrome (9099999909).

The spelling of 1053366408 in words is "one billion, fifty-three million, three hundred sixty-six thousand, four hundred eight".