390207446496 has 288 divisors, whose sum is σ = 1359713214720. Its totient is φ = 106639670016.

The previous prime is 390207446491. The next prime is 390207446537. The reversal of 390207446496 is 694644702093.

390207446496 is a `hidden beast` number, since 3 + 9 + 0 + 20 + 74 + 464 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390207446491) 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, 3138411 + ... + 3260373.

It is an arithmetic number, because the mean of its divisors is an integer number (4721226440).

Almost surely, 2^390207446496 is an apocalyptic number.

390207446496 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 390207446496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679856607360).

390207446496 is an abundant number, since it is smaller than the sum of its proper divisors (969505768224).

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

390207446496 is a wasteful number, since it uses less digits than its factorization.

390207446496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122035 (or 121998 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 390207446496 in words is "three hundred ninety billion, two hundred seven million, four hundred forty-six thousand, four hundred ninety-six".