470057742 has 224 divisors, whose sum is σ = 1359866880. Its totient is φ = 118272960.

The previous prime is 470057719. The next prime is 470057761. The reversal of 470057742 is 247750074.

It is a happy number.

470057742 is a `hidden beast` number, since 47 + 0 + 0 + 577 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 470057697 and 470057706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5950059 + ... + 5950137.

Almost surely, 2^470057742 is an apocalyptic number.

470057742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 470057742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (679933440).

470057742 is an abundant number, since it is smaller than the sum of its proper divisors (889809138).

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

470057742 is a wasteful number, since it uses less digits than its factorization.

470057742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 36.

The square root of 470057742 is about 21680.8150677044. The cubic root of 470057742 is about 777.5298483525.

The spelling of 470057742 in words is "four hundred seventy million, fifty-seven thousand, seven hundred forty-two".