949432320 has 416 divisors, whose sum is σ = 3609282240. Its totient is φ = 235929600.

The previous prime is 949432313. The next prime is 949432327. The reversal of 949432320 is 23234949.

It is an interprime number because it is at equal distance from previous prime (949432313) and next prime (949432327).

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

It is not an unprimeable number, because it can be changed into a prime (949432327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9400270 + ... + 9400370.

Almost surely, 2^949432320 is an apocalyptic number.

949432320 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 949432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804641120).

949432320 is an abundant number, since it is smaller than the sum of its proper divisors (2659849920).

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

949432320 is a wasteful number, since it uses less digits than its factorization.

949432320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 949432320 is about 30812.8596530734. The cubic root of 949432320 is about 982.8517241969.

It can be divided in two parts, 9494 and 32320, that added together give a palindrome (41814).

The spelling of 949432320 in words is "nine hundred forty-nine million, four hundred thirty-two thousand, three hundred twenty".