1954407312 has 320 divisors, whose sum is σ = 6982053120. Its totient is φ = 514252800.

The previous prime is 1954407293. The next prime is 1954407341. The reversal of 1954407312 is 2137044591.

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

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 63 ways as a sum of consecutive naturals, for example, 1049262 + ... + 1051122.

It is an arithmetic number, because the mean of its divisors is an integer number (21818916).

Almost surely, 2^1954407312 is an apocalyptic number.

1954407312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1954407312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491026560).

1954407312 is an abundant number, since it is smaller than the sum of its proper divisors (5027645808).

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

1954407312 is a wasteful number, since it uses less digits than its factorization.

1954407312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1954407312 is about 44208.6791478777. The cubic root of 1954407312 is about 1250.2735000471.

The spelling of 1954407312 in words is "one billion, nine hundred fifty-four million, four hundred seven thousand, three hundred twelve".