930456000000 has 420 divisors, whose sum is σ = 3356915546556. Its totient is φ = 248102400000.

The previous prime is 930455999981. The next prime is 930456000013. The reversal of 930456000000 is 654039.

It is a happy number.

930456000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 71993539 + ... + 72006461.

Almost surely, 2^930456000000 is an apocalyptic number.

930456000000 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 930456000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1678457773278).

930456000000 is an abundant number, since it is smaller than the sum of its proper divisors (2426459546556).

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

930456000000 is an frugal number, since it uses more digits than its factorization.

930456000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12977 (or 12933 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 930456000000 its reverse (654039), we get a palindrome (930456654039).

The spelling of 930456000000 in words is "nine hundred thirty billion, four hundred fifty-six million", and thus it is an aban number.