390268298240 has 352 divisors, whose sum is σ = 1039092572160. Its totient is φ = 139894194176.

The previous prime is 390268298237. The next prime is 390268298249. The reversal of 390268298240 is 42892862093.

It is a super-2 number, since 2×390268298240² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (390268298249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 766735106 + ... + 766735614.

Almost surely, 2^390268298240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390268298240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (519546286080).

390268298240 is an abundant number, since it is smaller than the sum of its proper divisors (648824273920).

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

390268298240 is a wasteful number, since it uses less digits than its factorization.

390268298240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 957 (or 939 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 53.

The spelling of 390268298240 in words is "three hundred ninety billion, two hundred sixty-eight million, two hundred ninety-eight thousand, two hundred forty".