1208053440 has 560 divisors, whose sum is σ = 4956779520. Its totient is φ = 276203520.

The previous prime is 1208053393. The next prime is 1208053453. The reversal of 1208053440 is 443508021.

1208053440 is a `hidden beast` number, since 12 + 0 + 80 + 534 + 40 = 666.

It is a super-2 number, since 2×1208053440² = 2918786227791667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5417169 + ... + 5417391.

It is an arithmetic number, because the mean of its divisors is an integer number (8851392).

Almost surely, 2^1208053440 is an apocalyptic number.

1208053440 is a gapful number since it is divisible by the number (10) 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 1208053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2478389760).

1208053440 is an abundant number, since it is smaller than the sum of its proper divisors (3748726080).

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

1208053440 is a wasteful number, since it uses less digits than its factorization.

1208053440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 1208053440 is about 34757.0631670744. The cubic root of 1208053440 is about 1065.0305089455.

The spelling of 1208053440 in words is "one billion, two hundred eight million, fifty-three thousand, four hundred forty".