390014496 has 144 divisors (see below), whose sum is σ = 1171183104. Its totient is φ = 122867712.

The previous prime is 390014491. The next prime is 390014497. The reversal of 390014496 is 694410093.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×390014496² = 304222614180268032, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 390014496.

It is not an unprimeable number, because it can be changed into a prime (390014491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 642225 + ... + 642831.

It is an arithmetic number, because the mean of its divisors is an integer number (8133216).

Almost surely, 2^390014496 is an apocalyptic number.

390014496 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 390014496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585591552).

390014496 is an abundant number, since it is smaller than the sum of its proper divisors (781168608).

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

390014496 is a wasteful number, since it uses less digits than its factorization.

390014496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 743 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 390014496 is about 19748.7846714678. The cubic root of 390014496 is about 730.6234094187.

The spelling of 390014496 in words is "three hundred ninety million, fourteen thousand, four hundred ninety-six".