4312475904 has 288 divisors, whose sum is σ = 13409948160. Its totient is φ = 1216512000.

The previous prime is 4312475861. The next prime is 4312475917. The reversal of 4312475904 is 4095742134.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10754104 + ... + 10754504.

It is an arithmetic number, because the mean of its divisors is an integer number (46562320).

Almost surely, 2^4312475904 is an apocalyptic number.

4312475904 is a gapful number since it is divisible by the number (44) 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 4312475904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6704974080).

4312475904 is an abundant number, since it is smaller than the sum of its proper divisors (9097472256).

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

4312475904 is a wasteful number, since it uses less digits than its factorization.

4312475904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517 (or 503 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 4312475904 is about 65669.4442187537. Note that the first 3 decimals coincide. The cubic root of 4312475904 is about 1627.7044862825.

The spelling of 4312475904 in words is "four billion, three hundred twelve million, four hundred seventy-five thousand, nine hundred four".