473957946 has 128 divisors (see below), whose sum is σ = 1355857920. Its totient is φ = 119102400.

The previous prime is 473957927. The next prime is 473957951. The reversal of 473957946 is 649759374.

It is a happy number.

It is a super-2 number, since 2×473957946² = 449272269153077832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 473957892 and 473957901.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127060 + ... + 130736.

It is an arithmetic number, because the mean of its divisors is an integer number (10592640).

Almost surely, 2^473957946 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473957946, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677928960).

473957946 is an abundant number, since it is smaller than the sum of its proper divisors (881899974).

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

473957946 is a wasteful number, since it uses less digits than its factorization.

473957946 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3731 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 473957946 is about 21770.5752335578. The cubic root of 473957946 is about 779.6743907213.

The spelling of 473957946 in words is "four hundred seventy-three million, nine hundred fifty-seven thousand, nine hundred forty-six".