949314240 has 504 divisors, whose sum is σ = 3934663200. Its totient is φ = 209986560.

The previous prime is 949314239. The next prime is 949314253. The reversal of 949314240 is 42413949.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 949314195 and 949314204.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 30623025 + ... + 30623055.

Almost surely, 2^949314240 is an apocalyptic number.

949314240 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 949314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1967331600).

949314240 is an abundant number, since it is smaller than the sum of its proper divisors (2985348960).

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

949314240 is a wasteful number, since it uses less digits than its factorization.

949314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 949314240 is about 30810.9435103828. The cubic root of 949314240 is about 982.8109770610.

The spelling of 949314240 in words is "nine hundred forty-nine million, three hundred fourteen thousand, two hundred forty".