392000400 has 360 divisors, whose sum is σ = 1565123040. Its totient is φ = 89856000.

The previous prime is 392000383. The next prime is 392000417. The reversal of 392000400 is 4000293.

It is a Cunningham number, because it is equal to 19799²-1.

It is an interprime number because it is at equal distance from previous prime (392000383) and next prime (392000417).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 752140 + ... + 752660.

It is an arithmetic number, because the mean of its divisors is an integer number (4347564).

Almost surely, 2^392000400 is an apocalyptic number.

392000400 is a gapful number since it is divisible by the number (30) 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 392000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782561520).

392000400 is an abundant number, since it is smaller than the sum of its proper divisors (1173122640).

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

392000400 is a wasteful number, since it uses less digits than its factorization.

392000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 392000400 is about 19798.9999747462. Note that the first 4 decimals coincide. The cubic root of 392000400 is about 731.8613909369.

Adding to 392000400 its reverse (4000293), we get a palindrome (396000693).

The spelling of 392000400 in words is "three hundred ninety-two million, four hundred", and thus it is an aban number.