390867840 has 384 divisors, whose sum is σ = 1527552000. Its totient is φ = 91238400.

The previous prime is 390867823. The next prime is 390867847. The reversal of 390867840 is 48768093.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390867847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1964061 + ... + 1964259.

It is an arithmetic number, because the mean of its divisors is an integer number (3978000).

Almost surely, 2^390867840 is an apocalyptic number.

390867840 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 390867840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763776000).

390867840 is an abundant number, since it is smaller than the sum of its proper divisors (1136684160).

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

390867840 is a wasteful number, since it uses less digits than its factorization.

390867840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 390867840 is about 19770.3778416094. The cubic root of 390867840 is about 731.1558844467.

The spelling of 390867840 in words is "three hundred ninety million, eight hundred sixty-seven thousand, eight hundred forty".