1353416000 has 56 divisors (see below), whose sum is σ = 3351754536. Its totient is φ = 541363200.

The previous prime is 1353415991. The next prime is 1353416033. The reversal of 1353416000 is 6143531.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 26708224 + 1326707776 = 5168^2 + 36424^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76589 + ... + 92588.

Almost surely, 2^1353416000 is an apocalyptic number.

1353416000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1353416000 is an abundant number, since it is smaller than the sum of its proper divisors (1998338536).

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

1353416000 is an equidigital number, since it uses as much as digits as its factorization.

1353416000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169204 (or 169184 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 1353416000 is about 36788.8026442829. The cubic root of 1353416000 is about 1106.1408608429.

Adding to 1353416000 its reverse (6143531), we get a palindrome (1359559531).

The spelling of 1353416000 in words is "one billion, three hundred fifty-three million, four hundred sixteen thousand".