945374976 has 432 divisors, whose sum is σ = 3499851264. Its totient is φ = 247836672.

The previous prime is 945374951. The next prime is 945374987. The reversal of 945374976 is 679473549.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5660845 + ... + 5661011.

Almost surely, 2^945374976 is an apocalyptic number.

945374976 is a gapful number since it is divisible by the number (96) 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 945374976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749925632).

945374976 is an abundant number, since it is smaller than the sum of its proper divisors (2554476288).

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

945374976 is a wasteful number, since it uses less digits than its factorization.

945374976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 192 counting only the distinct ones).

The product of its digits is 5715360, while the sum is 54.

The square root of 945374976 is about 30746.9506780754. The cubic root of 945374976 is about 981.4496718039.

The spelling of 945374976 in words is "nine hundred forty-five million, three hundred seventy-four thousand, nine hundred seventy-six".