392042400 has 72 divisors (see below), whose sum is σ = 1276105824. Its totient is φ = 104544000.

The previous prime is 392042347. The next prime is 392042401. The reversal of 392042400 is 4240293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (392042401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 79276 + ... + 84075.

It is an arithmetic number, because the mean of its divisors is an integer number (17723692).

Almost surely, 2^392042400 is an apocalyptic number.

392042400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

392042400 is an abundant number, since it is smaller than the sum of its proper divisors (884063424).

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

392042400 is a wasteful number, since it uses less digits than its factorization.

392042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163374 (or 163361 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 392042400 is about 19800.0606059679. The cubic root of 392042400 is about 731.8875278836.

Adding to 392042400 its reverse (4240293), we get a palindrome (396282693).

The spelling of 392042400 in words is "three hundred ninety-two million, forty-two thousand, four hundred".