1392098400 has 1008 divisors, whose sum is σ = 6557580288. Its totient is φ = 279936000.

The previous prime is 1392098353. The next prime is 1392098401. The reversal of 1392098400 is 48902931.

1392098400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1392098401) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 44906385 + ... + 44906415.

It is an arithmetic number, because the mean of its divisors is an integer number (6505536).

Almost surely, 2^1392098400 is an apocalyptic number.

1392098400 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 1392098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278790144).

1392098400 is an abundant number, since it is smaller than the sum of its proper divisors (5165481888).

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

1392098400 is a wasteful number, since it uses less digits than its factorization.

1392098400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 1392098400 is about 37310.8348874694. The cubic root of 1392098400 is about 1116.5803433183.

The spelling of 1392098400 in words is "one billion, three hundred ninety-two million, ninety-eight thousand, four hundred".