1353873456 has 120 divisors (see below), whose sum is σ = 4110986880. Its totient is φ = 413457408.

The previous prime is 1353873431. The next prime is 1353873457. The reversal of 1353873456 is 6543783531.

1353873456 is a `hidden beast` number, since 1 + 3 + 538 + 73 + 45 + 6 = 666.

It is a super-2 number, since 2×1353873456² = 3665946669722767872, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1353873457) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 253825 + ... + 259103.

It is an arithmetic number, because the mean of its divisors is an integer number (34258224).

Almost surely, 2^1353873456 is an apocalyptic number.

1353873456 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 1353873456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055493440).

1353873456 is an abundant number, since it is smaller than the sum of its proper divisors (2757113424).

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

1353873456 is a wasteful number, since it uses less digits than its factorization.

1353873456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5443 (or 5434 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The square root of 1353873456 is about 36795.0194455717. The cubic root of 1353873456 is about 1106.2654723873.

The spelling of 1353873456 in words is "one billion, three hundred fifty-three million, eight hundred seventy-three thousand, four hundred fifty-six".