949258440 has 320 divisors, whose sum is σ = 3551708160. Its totient is φ = 225815040.

The previous prime is 949258399. The next prime is 949258441. The reversal of 949258440 is 44852949.

It is a super-2 number, since 2×949258440² = 1802183171822467200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (949258441) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1305357 + ... + 1306083.

It is an arithmetic number, because the mean of its divisors is an integer number (11099088).

Almost surely, 2^949258440 is an apocalyptic number.

949258440 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 949258440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1775854080).

949258440 is an abundant number, since it is smaller than the sum of its proper divisors (2602449720).

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

949258440 is a wasteful number, since it uses less digits than its factorization.

949258440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 949258440 is about 30810.0379746601. The cubic root of 949258440 is about 982.7917203791.

The spelling of 949258440 in words is "nine hundred forty-nine million, two hundred fifty-eight thousand, four hundred forty".