1392268752 has 270 divisors, whose sum is σ = 4750908162. Its totient is φ = 379475712.

The previous prime is 1392268747. The next prime is 1392268753. The reversal of 1392268752 is 2578622931.

It can be written as a sum of positive squares in only one way, i.e., 1209370176 + 182898576 = 34776^2 + 13524^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1392268698 and 1392268707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392268753) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3732438 + ... + 3732810.

Almost surely, 2^1392268752 is an apocalyptic number.

1392268752 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 1392268752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2375454081).

1392268752 is an abundant number, since it is smaller than the sum of its proper divisors (3358639410).

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

1392268752 is a wasteful number, since it uses less digits than its factorization.

1392268752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 408 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 1392268752 is about 37313.1176933796. The cubic root of 1392268752 is about 1116.6258870185.

The spelling of 1392268752 in words is "one billion, three hundred ninety-two million, two hundred sixty-eight thousand, seven hundred fifty-two".