953457012 has 144 divisors (see below), whose sum is σ = 2665353600. Its totient is φ = 286191360.

The previous prime is 953457007. The next prime is 953457013. The reversal of 953457012 is 210754359.

953457012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (953457013) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1408018 + ... + 1408694.

It is an arithmetic number, because the mean of its divisors is an integer number (18509400).

Almost surely, 2^953457012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 953457012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332676800).

953457012 is an abundant number, since it is smaller than the sum of its proper divisors (1711896588).

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

953457012 is a wasteful number, since it uses less digits than its factorization.

953457012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 953457012 is about 30878.0992290653. The cubic root of 953457012 is about 984.2385526128.

The spelling of 953457012 in words is "nine hundred fifty-three million, four hundred fifty-seven thousand, twelve".