412072950 has 96 divisors (see below), whose sum is σ = 1082787840. Its totient is φ = 103420800.

The previous prime is 412072939. The next prime is 412072993. The reversal of 412072950 is 59270214.

It is a super-2 number, since 2×412072950² = 339608232243405000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 543972 + ... + 544728.

It is an arithmetic number, because the mean of its divisors is an integer number (11279040).

Almost surely, 2^412072950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412072950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541393920).

412072950 is an abundant number, since it is smaller than the sum of its proper divisors (670714890).

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

412072950 is a wasteful number, since it uses less digits than its factorization.

412072950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 982 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 412072950 is about 20299.5800449172. The cubic root of 412072950 is about 744.1458011458.

The spelling of 412072950 in words is "four hundred twelve million, seventy-two thousand, nine hundred fifty".