390283729920 has 704 divisors, whose sum is σ = 1617686784000. Its totient is φ = 89196871680.

The previous prime is 390283729897. The next prime is 390283729921. The reversal of 390283729920 is 29927382093.

It is a happy number.

390283729920 is a `hidden beast` number, since 390 + 2 + 83 + 72 + 99 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390283729921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47412205 + ... + 47420435.

Almost surely, 2^390283729920 is an apocalyptic number.

390283729920 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 390283729920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (808843392000).

390283729920 is an abundant number, since it is smaller than the sum of its proper divisors (1227403054080).

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

390283729920 is an equidigital number, since it uses as much as digits as its factorization.

390283729920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8286 (or 8248 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 390283729920 in words is "three hundred ninety billion, two hundred eighty-three million, seven hundred twenty-nine thousand, nine hundred twenty".