1352420496 has 160 divisors (see below), whose sum is σ = 4499712000. Its totient is φ = 380903040.

The previous prime is 1352420483. The next prime is 1352420497. The reversal of 1352420496 is 6940242531.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 1352420496.

It is not an unprimeable number, because it can be changed into a prime (1352420497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211555 + ... + 217853.

It is an arithmetic number, because the mean of its divisors is an integer number (28123200).

Almost surely, 2^1352420496 is an apocalyptic number.

1352420496 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 1352420496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249856000).

1352420496 is an abundant number, since it is smaller than the sum of its proper divisors (3147291504).

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

1352420496 is a wasteful number, since it uses less digits than its factorization.

1352420496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6382 counting only the distinct ones).

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

The square root of 1352420496 is about 36775.2701689600. The cubic root of 1352420496 is about 1105.8695873272.

The spelling of 1352420496 in words is "one billion, three hundred fifty-two million, four hundred twenty thousand, four hundred ninety-six".