478311834 has 192 divisors, whose sum is σ = 1353203712. Its totient is φ = 110678400.

The previous prime is 478311817. The next prime is 478311853. The reversal of 478311834 is 438113874.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 478311792 and 478311801.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1303119 + ... + 1303485.

It is an arithmetic number, because the mean of its divisors is an integer number (7047936).

Almost surely, 2^478311834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478311834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676601856).

478311834 is an abundant number, since it is smaller than the sum of its proper divisors (874891878).

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

478311834 is a wasteful number, since it uses less digits than its factorization.

478311834 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 434 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 478311834 is about 21870.3414239467. The cubic root of 478311834 is about 782.0545407982.

The spelling of 478311834 in words is "four hundred seventy-eight million, three hundred eleven thousand, eight hundred thirty-four".