390875220 has 336 divisors, whose sum is σ = 1388197440. Its totient is φ = 91819008.

The previous prime is 390875213. The next prime is 390875227. The reversal of 390875220 is 22578093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (390875213) and next prime (390875227).

It is a super-2 number, since 2×390875220² = 305566875220096800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390875227) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 4709299 + ... + 4709381.

It is an arithmetic number, because the mean of its divisors is an integer number (4131540).

Almost surely, 2^390875220 is an apocalyptic number.

390875220 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 390875220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694098720).

390875220 is an abundant number, since it is smaller than the sum of its proper divisors (997322220).

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

390875220 is a wasteful number, since it uses less digits than its factorization.

390875220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 390875220 is about 19770.5644835953. The cubic root of 390875220 is about 731.1604860843.

The spelling of 390875220 in words is "three hundred ninety million, eight hundred seventy-five thousand, two hundred twenty".