481634790 has 192 divisors, whose sum is σ = 1469809152. Its totient is φ = 98841600.

The previous prime is 481634773. The next prime is 481634827. The reversal of 481634790 is 97436184.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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, 1454925 + ... + 1455255.

It is an arithmetic number, because the mean of its divisors is an integer number (7655256).

Almost surely, 2^481634790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481634790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (734904576).

481634790 is an abundant number, since it is smaller than the sum of its proper divisors (988174362).

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

481634790 is a wasteful number, since it uses less digits than its factorization.

481634790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 481634790 is about 21946.1793941451. The cubic root of 481634790 is about 783.8614080212.

The spelling of 481634790 in words is "four hundred eighty-one million, six hundred thirty-four thousand, seven hundred ninety".