945743040 has 560 divisors, whose sum is σ = 3823801344. Its totient is φ = 219801600.

The previous prime is 945743033. The next prime is 945743053. The reversal of 945743040 is 40347549.

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

It is a junction number, because it is equal to n+sod(n) for n = 945742986 and 945743004.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8838667 + ... + 8838773.

Almost surely, 2^945743040 is an apocalyptic number.

945743040 is a gapful number since it is divisible by the number (90) 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 945743040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911900672).

945743040 is an abundant number, since it is smaller than the sum of its proper divisors (2878058304).

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

945743040 is a wasteful number, since it uses less digits than its factorization.

945743040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 945743040 is about 30752.9354696426. The cubic root of 945743040 is about 981.5770249463.

The spelling of 945743040 in words is "nine hundred forty-five million, seven hundred forty-three thousand, forty".