1392422400 has 600 divisors, whose sum is σ = 5525673120. Its totient is φ = 345047040.

The previous prime is 1392422387. The next prime is 1392422407. The reversal of 1392422400 is 42242931.

1392422400 is a `hidden beast` number, since 13 + 9 + 242 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392422407) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17625561 + ... + 17625639.

Almost surely, 2^1392422400 is an apocalyptic number.

1392422400 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 1392422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762836560).

1392422400 is an abundant number, since it is smaller than the sum of its proper divisors (4133250720).

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

1392422400 is an equidigital number, since it uses as much as digits as its factorization.

1392422400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1392422400 is about 37315.1765371678. The cubic root of 1392422400 is about 1116.6669617088. Note that the first 3 decimals are identical.

The spelling of 1392422400 in words is "one billion, three hundred ninety-two million, four hundred twenty-two thousand, four hundred".