1352792000 has 448 divisors, whose sum is σ = 4279392000. Its totient is φ = 421478400.

The previous prime is 1352791991. The next prime is 1352792003. The reversal of 1352792000 is 2972531.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352792003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46647986 + ... + 46648014.

Almost surely, 2^1352792000 is an apocalyptic number.

1352792000 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 1352792000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696000).

1352792000 is an abundant number, since it is smaller than the sum of its proper divisors (2926600000).

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

1352792000 is an equidigital number, since it uses as much as digits as its factorization.

1352792000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 29.

The square root of 1352792000 is about 36780.3208251369. The cubic root of 1352792000 is about 1105.9708372378.

The spelling of 1352792000 in words is "one billion, three hundred fifty-two million, seven hundred ninety-two thousand".