949838400 has 504 divisors, whose sum is σ = 4012590400. Its totient is φ = 216483840.

The previous prime is 949838389. The next prime is 949838401. The reversal of 949838400 is 4838949.

It is a happy number.

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

It is a super-2 number, since 2×949838400² = 1804385972229120000, 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 (949838401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2721426 + ... + 2721774.

Almost surely, 2^949838400 is an apocalyptic number.

949838400 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 949838400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2006295200).

949838400 is an abundant number, since it is smaller than the sum of its proper divisors (3062752000).

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

949838400 is a wasteful number, since it uses less digits than its factorization.

949838400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 366 counting only the distinct ones).

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

The square root of 949838400 is about 30819.4484051873. The cubic root of 949838400 is about 982.9918288087.

The spelling of 949838400 in words is "nine hundred forty-nine million, eight hundred thirty-eight thousand, four hundred".