390241152 has 320 divisors, whose sum is σ = 1402051200. Its totient is φ = 105255936.

The previous prime is 390241121. The next prime is 390241193. The reversal of 390241152 is 251142093.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378803 + ... + 1379085.

It is an arithmetic number, because the mean of its divisors is an integer number (4381410).

Almost surely, 2^390241152 is an apocalyptic number.

390241152 is a gapful number since it is divisible by the number (32) 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 390241152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701025600).

390241152 is an abundant number, since it is smaller than the sum of its proper divisors (1011810048).

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

390241152 is a wasteful number, since it uses less digits than its factorization.

390241152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 390241152 is about 19754.5223176872. The cubic root of 390241152 is about 730.7649153645.

390241152 divided by its sum of digits (27) gives a triangular number (14453376 = T₅₃₇₆).

It can be divided in two parts, 3902 and 41152, that added together give a palindrome (45054).

The spelling of 390241152 in words is "three hundred ninety million, two hundred forty-one thousand, one hundred fifty-two".