390471840 has 432 divisors, whose sum is σ = 1537177824. Its totient is φ = 93519360.

The previous prime is 390471833. The next prime is 390471847. The reversal of 390471840 is 48174093.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (390471833) and next prime (390471847).

It is a tau number, because it is divible by the number of its divisors (432).

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

It is a junction number, because it is equal to n+sod(n) for n = 390471795 and 390471804.

It is not an unprimeable number, because it can be changed into a prime (390471847) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4704439 + ... + 4704521.

It is an arithmetic number, because the mean of its divisors is an integer number (3558282).

Almost surely, 2^390471840 is an apocalyptic number.

390471840 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 390471840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768588912).

390471840 is an abundant number, since it is smaller than the sum of its proper divisors (1146705984).

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

390471840 is a wasteful number, since it uses less digits than its factorization.

390471840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 390471840 is about 19760.3603206014. The cubic root of 390471840 is about 730.9088823183.

The spelling of 390471840 in words is "three hundred ninety million, four hundred seventy-one thousand, eight hundred forty".