390459260400 has 480 divisors, whose sum is σ = 1383611943168. Its totient is φ = 93337190400.

The previous prime is 390459260309. The next prime is 390459260407. The reversal of 390459260400 is 4062954093.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390459260407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 597946474 + ... + 597947126.

Almost surely, 2^390459260400 is an apocalyptic number.

390459260400 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 390459260400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (691805971584).

390459260400 is an abundant number, since it is smaller than the sum of its proper divisors (993152682768).

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

390459260400 is a wasteful number, since it uses less digits than its factorization.

390459260400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 390459260400 in words is "three hundred ninety billion, four hundred fifty-nine million, two hundred sixty thousand, four hundred".