390920040 has 384 divisors, whose sum is σ = 1551312000. Its totient is φ = 87284736.

The previous prime is 390920021. The next prime is 390920051. The reversal of 390920040 is 40029093.

It is a super-3 number, since 3×390920040³ (a number of 27 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 390919986 and 390920013.

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 95 ways as a sum of consecutive naturals, for example, 4392316 + ... + 4392404.

It is an arithmetic number, because the mean of its divisors is an integer number (4039875).

Almost surely, 2^390920040 is an apocalyptic number.

390920040 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 390920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775656000).

390920040 is an abundant number, since it is smaller than the sum of its proper divisors (1160391960).

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

390920040 is a wasteful number, since it uses less digits than its factorization.

390920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 390920040 is about 19771.6979543994. The cubic root of 390920040 is about 731.1884313712.

The spelling of 390920040 in words is "three hundred ninety million, nine hundred twenty thousand, forty".