1362085452 has 288 divisors, whose sum is σ = 4533401600. Its totient is φ = 334803456.

The previous prime is 1362085451. The next prime is 1362085453. The reversal of 1362085452 is 2545802631.

It is an interprime number because it is at equal distance from previous prime (1362085451) and next prime (1362085453).

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

It is not an unprimeable number, because it can be changed into a prime (1362085451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4917138 + ... + 4917414.

Almost surely, 2^1362085452 is an apocalyptic number.

1362085452 is a gapful number since it is divisible by the number (12) 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 1362085452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2266700800).

1362085452 is an abundant number, since it is smaller than the sum of its proper divisors (3171316148).

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

1362085452 is a wasteful number, since it uses less digits than its factorization.

1362085452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1362085452 is about 36906.4418767239. The cubic root of 1362085452 is about 1108.4976705358.

The spelling of 1362085452 in words is "one billion, three hundred sixty-two million, eighty-five thousand, four hundred fifty-two".