945010752 has 224 divisors, whose sum is σ = 3140659200. Its totient is φ = 244518912.

The previous prime is 945010741. The next prime is 945010783. The reversal of 945010752 is 257010549.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 586524 + ... + 588132.

It is an arithmetic number, because the mean of its divisors is an integer number (14020800).

Almost surely, 2^945010752 is an apocalyptic number.

945010752 is a gapful number since it is divisible by the number (92) 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 945010752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1570329600).

945010752 is an abundant number, since it is smaller than the sum of its proper divisors (2195648448).

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

945010752 is a wasteful number, since it uses less digits than its factorization.

945010752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1673 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 945010752 is about 30741.0271786744. The cubic root of 945010752 is about 981.3236147890.

It can be divided in two parts, 9450 and 10752, that multiplied together give a square (101606400 = 10080²).

The spelling of 945010752 in words is "nine hundred forty-five million, ten thousand, seven hundred fifty-two".