904130346420 has 288 divisors, whose sum is σ = 3201141565440. Its totient is φ = 202271247360.

The previous prime is 904130346419. The next prime is 904130346421. The reversal of 904130346420 is 24643031409.

It is a happy number.

904130346420 is a `hidden beast` number, since 9 + 0 + 4 + 1 + 3 + 0 + 3 + 4 + 642 + 0 = 666.

904130346420 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (904130346419) and next prime (904130346421).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (904130346421) 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, 28098301 + ... + 28130459.

It is an arithmetic number, because the mean of its divisors is an integer number (11115074880).

Almost surely, 2^904130346420 is an apocalyptic number.

904130346420 is a gapful number since it is divisible by the number (90) 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 904130346420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1600570782720).

904130346420 is an abundant number, since it is smaller than the sum of its proper divisors (2297011219020).

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

904130346420 is a wasteful number, since it uses less digits than its factorization.

904130346420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32655 (or 32650 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 904130346420 its reverse (24643031409), we get a palindrome (928773377829).

The spelling of 904130346420 in words is "nine hundred four billion, one hundred thirty million, three hundred forty-six thousand, four hundred twenty".