390593150220 has 768 divisors, whose sum is σ = 1466248089600. Its totient is φ = 76928237568.

The previous prime is 390593150191. The next prime is 390593150239. The reversal of 390593150220 is 22051395093.

It is a happy number.

390593150220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 714063987 + ... + 714064533.

It is an arithmetic number, because the mean of its divisors is an integer number (1909177200).

Almost surely, 2^390593150220 is an apocalyptic number.

390593150220 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 390593150220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733124044800).

390593150220 is an abundant number, since it is smaller than the sum of its proper divisors (1075654939380).

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

390593150220 is a wasteful number, since it uses less digits than its factorization.

390593150220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 39.

The spelling of 390593150220 in words is "three hundred ninety billion, five hundred ninety-three million, one hundred fifty thousand, two hundred twenty".