390145716 has 72 divisors (see below), whose sum is σ = 1050888384. Its totient is φ = 121616640.

The previous prime is 390145703. The next prime is 390145727. The reversal of 390145716 is 617541093.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97801 + ... + 101711.

It is an arithmetic number, because the mean of its divisors is an integer number (14595672).

Almost surely, 2^390145716 is an apocalyptic number.

390145716 is a gapful number since it is divisible by the number (36) 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 390145716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525444192).

390145716 is an abundant number, since it is smaller than the sum of its proper divisors (660742668).

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

390145716 is a wasteful number, since it uses less digits than its factorization.

390145716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4101 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 390145716 is about 19752.1066218264. The cubic root of 390145716 is about 730.7053394108.

The spelling of 390145716 in words is "three hundred ninety million, one hundred forty-five thousand, seven hundred sixteen".