1356424000 has 56 divisors (see below), whose sum is σ = 3359203848. Its totient is φ = 542566400.

The previous prime is 1356423977. The next prime is 1356424001. The reversal of 1356424000 is 4246531.

It can be written as a sum of positive squares in 4 ways, for example, as 169208064 + 1187215936 = 13008^2 + 34456^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1356424001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76777 + ... + 92776.

It is an arithmetic number, because the mean of its divisors is an integer number (59985783).

Almost surely, 2^1356424000 is an apocalyptic number.

1356424000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1356424000 is an abundant number, since it is smaller than the sum of its proper divisors (2002779848).

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

1356424000 is an equidigital number, since it uses as much as digits as its factorization.

1356424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169580 (or 169560 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 1356424000 is about 36829.6619588071. The cubic root of 1356424000 is about 1106.9597294854.

The spelling of 1356424000 in words is "one billion, three hundred fifty-six million, four hundred twenty-four thousand".