949164480 has 280 divisors, whose sum is σ = 3684391920. Its totient is φ = 230031360.

The previous prime is 949164431. The next prime is 949164493. The reversal of 949164480 is 84461949.

949164480 is a `hidden beast` number, since 9 + 4 + 9 + 164 + 480 = 666.

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 polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 283456 + ... + 286784.

Almost surely, 2^949164480 is an apocalyptic number.

949164480 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 949164480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842195960).

949164480 is an abundant number, since it is smaller than the sum of its proper divisors (2735227440).

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

949164480 is a wasteful number, since it uses less digits than its factorization.

949164480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3369 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 949164480 is about 30808.5131092041. The cubic root of 949164480 is about 982.7592929062.

The spelling of 949164480 in words is "nine hundred forty-nine million, one hundred sixty-four thousand, four hundred eighty".