1953400072 has 64 divisors (see below), whose sum is σ = 4024742400. Its totient is φ = 883319040.

The previous prime is 1953400069. The next prime is 1953400091. The reversal of 1953400072 is 2700043591.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2327829 + ... + 2328667.

It is an arithmetic number, because the mean of its divisors is an integer number (62886600).

Almost surely, 2^1953400072 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 1953400072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2012371200).

1953400072 is an abundant number, since it is smaller than the sum of its proper divisors (2071342328).

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

1953400072 is a wasteful number, since it uses less digits than its factorization.

1953400072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1282 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 1953400072 is about 44197.2857990171. The cubic root of 1953400072 is about 1250.0586792720.

The spelling of 1953400072 in words is "one billion, nine hundred fifty-three million, four hundred thousand, seventy-two".