949459460400 has 720 divisors, whose sum is σ = 3741955638400. Its totient is φ = 228472358400.

The previous prime is 949459460353. The next prime is 949459460401. The reversal of 949459460400 is 4064954949.

It is a happy number.

949459460400 is a `hidden beast` number, since 9 + 4 + 9 + 4 + 594 + 6 + 0 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (949459460401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 181642587 + ... + 181647813.

Almost surely, 2^949459460400 is an apocalyptic number.

949459460400 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 949459460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870977819200).

949459460400 is an abundant number, since it is smaller than the sum of its proper divisors (2792496178000).

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

949459460400 is a wasteful number, since it uses less digits than its factorization.

949459460400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5415 (or 5387 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 949459460400 in words is "nine hundred forty-nine billion, four hundred fifty-nine million, four hundred sixty thousand, four hundred".