481314042 has 96 divisors (see below), whose sum is σ = 1237857600. Its totient is φ = 138140640.

The previous prime is 481313983. The next prime is 481314107. The reversal of 481314042 is 240413184.

481314042 is a `hidden beast` number, since 481 + 3 + 140 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 481313997 and 481314015.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122208 + ... + 126084.

It is an arithmetic number, because the mean of its divisors is an integer number (12894350).

Almost surely, 2^481314042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 481314042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (618928800).

481314042 is an abundant number, since it is smaller than the sum of its proper divisors (756543558).

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

481314042 is a wasteful number, since it uses less digits than its factorization.

481314042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3929 (or 3912 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 481314042 is about 21938.8705725705. The cubic root of 481314042 is about 783.6873634153.

The spelling of 481314042 in words is "four hundred eighty-one million, three hundred fourteen thousand, forty-two".