391920120 has 192 divisors, whose sum is σ = 1344601440. Its totient is φ = 102643200.

The previous prime is 391920101. The next prime is 391920131. The reversal of 391920120 is 21029193.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 592590 + ... + 593250.

Almost surely, 2^391920120 is an apocalyptic number.

391920120 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 391920120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672300720).

391920120 is an abundant number, since it is smaller than the sum of its proper divisors (952681320).

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

391920120 is a wasteful number, since it uses less digits than its factorization.

391920120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 391920120 is about 19796.9724958136. The cubic root of 391920120 is about 731.8114268350.

The spelling of 391920120 in words is "three hundred ninety-one million, nine hundred twenty thousand, one hundred twenty".