392508480 has 224 divisors, whose sum is σ = 1534143744. Its totient is φ = 82796544.

The previous prime is 392508451. The next prime is 392508481. The reversal of 392508480 is 84805293.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (392508481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 85114 + ... + 89606.

It is an arithmetic number, because the mean of its divisors is an integer number (6848856).

Almost surely, 2^392508480 is an apocalyptic number.

392508480 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 392508480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767071872).

392508480 is an abundant number, since it is smaller than the sum of its proper divisors (1141635264).

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

392508480 is a wasteful number, since it uses less digits than its factorization.

392508480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4523 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 392508480 is about 19811.8267708962. The cubic root of 392508480 is about 732.1774480969.

The spelling of 392508480 in words is "three hundred ninety-two million, five hundred eight thousand, four hundred eighty".