949166400 has 672 divisors, whose sum is σ = 4000243968. Its totient is φ = 191692800.

The previous prime is 949166341. The next prime is 949166419. The reversal of 949166400 is 4661949.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17908774 + ... + 17908826.

It is an arithmetic number, because the mean of its divisors is an integer number (5952744).

Almost surely, 2^949166400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 949166400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2000121984).

949166400 is an abundant number, since it is smaller than the sum of its proper divisors (3051077568).

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

949166400 is a wasteful number, since it uses less digits than its factorization.

949166400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 949166400 is about 30808.5442694068. The cubic root of 949166400 is about 982.7599555580.

The spelling of 949166400 in words is "nine hundred forty-nine million, one hundred sixty-six thousand, four hundred".