390714240 has 192 divisors, whose sum is σ = 1449081360. Its totient is φ = 89284608.

The previous prime is 390714239. The next prime is 390714241. The reversal of 390714240 is 42417093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (390714239) and next prime (390714241).

It is a tau number, because it is divible by the number of its divisors (192).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 390714198 and 390714207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390714241) by changing a digit.

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, 92004 + ... + 96156.

Almost surely, 2^390714240 is an apocalyptic number.

390714240 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 390714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (724540680).

390714240 is an abundant number, since it is smaller than the sum of its proper divisors (1058367120).

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

390714240 is a wasteful number, since it uses less digits than its factorization.

390714240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4189 (or 4170 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 390714240 is about 19766.4928603938. The cubic root of 390714240 is about 731.0600973745.

The spelling of 390714240 in words is "three hundred ninety million, seven hundred fourteen thousand, two hundred forty".