472435950 has 288 divisors, whose sum is σ = 1526688000. Its totient is φ = 95800320.

The previous prime is 472435949. The next prime is 472435987. The reversal of 472435950 is 59534274.

It is a junction number, because it is equal to n+sod(n) for n = 472435899 and 472435908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2373951 + ... + 2374149.

It is an arithmetic number, because the mean of its divisors is an integer number (5301000).

Almost surely, 2^472435950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 472435950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763344000).

472435950 is an abundant number, since it is smaller than the sum of its proper divisors (1054252050).

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

472435950 is a wasteful number, since it uses less digits than its factorization.

472435950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 39.

The square root of 472435950 is about 21735.5917793834. The cubic root of 472435950 is about 778.8389201162.

The spelling of 472435950 in words is "four hundred seventy-two million, four hundred thirty-five thousand, nine hundred fifty".