949077360 has 960 divisors, whose sum is σ = 4512568320. Its totient is φ = 172523520.

The previous prime is 949077347. The next prime is 949077401. The reversal of 949077360 is 63770949.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 17907094 + ... + 17907146.

It is an arithmetic number, because the mean of its divisors is an integer number (4700592).

Almost surely, 2^949077360 is an apocalyptic number.

949077360 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 949077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2256284160).

949077360 is an abundant number, since it is smaller than the sum of its proper divisors (3563490960).

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

949077360 is a wasteful number, since it uses less digits than its factorization.

949077360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 949077360 is about 30807.0991818444. The cubic root of 949077360 is about 982.7292241419.

The spelling of 949077360 in words is "nine hundred forty-nine million, seventy-seven thousand, three hundred sixty".