535972950 has 144 divisors (see below), whose sum is σ = 1542567936. Its totient is φ = 138218400.

The previous prime is 535972949. The next prime is 535972993. The reversal of 535972950 is 59279535.

535972950 is a `hidden beast` number, since 5 + 3 + 597 + 2 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 535972896 and 535972905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 375939 + ... + 377361.

Almost surely, 2^535972950 is an apocalyptic number.

535972950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 535972950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771283968).

535972950 is an abundant number, since it is smaller than the sum of its proper divisors (1006594986).

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

535972950 is a wasteful number, since it uses less digits than its factorization.

535972950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1464 counting only the distinct ones).

The product of its (nonzero) digits is 425250, while the sum is 45.

The square root of 535972950 is about 23151.0896071870. The cubic root of 535972950 is about 812.2959550737.

The spelling of 535972950 in words is "five hundred thirty-five million, nine hundred seventy-two thousand, nine hundred fifty".