1392840540 has 432 divisors, whose sum is σ = 5422749696. Its totient is φ = 283046400.

The previous prime is 1392840529. The next prime is 1392840577. The reversal of 1392840540 is 450482931.

1392840540 is a `hidden beast` number, since 1 + 39 + 2 + 84 + 0 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1392840495 and 1392840504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6601035 + ... + 6601245.

Almost surely, 2^1392840540 is an apocalyptic number.

1392840540 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 1392840540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2711374848).

1392840540 is an abundant number, since it is smaller than the sum of its proper divisors (4029909156).

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

1392840540 is a wasteful number, since it uses less digits than its factorization.

1392840540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 1392840540 is about 37320.7789307780. The cubic root of 1392840540 is about 1116.7787276961.

The spelling of 1392840540 in words is "one billion, three hundred ninety-two million, eight hundred forty thousand, five hundred forty".